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Finding the Fourth Proportional to 5,794.76, 7,996.78 and 3,142.18

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Solution

The fourth proportional to 5,794.76, 7,996.78 and 3,142.18 is: 4,336.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.76 : 7,996.78 = 3,142.18 : x
  2. Step 2: Convert to fraction form
    5,794.76/7,996.78 = 3,142.18/x
  3. Step 3: Cross multiply
    5,794.76x = 7,996.78 × 3,142.18
  4. Step 4: Simplify right side
    5,794.76x = 25,127,294.33
  5. Step 5: Solve for x
    x = 25,127,294.33/5,794.76
  6. Step 6: Final answer
    x = 4,336.21

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.