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Finding the Fourth Proportional to 5,708.62, 7,877.90 and 3,224.62

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Solution

The fourth proportional to 5,708.62, 7,877.90 and 3,224.62 is: 4,449.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.62 : 7,877.90 = 3,224.62 : x
  2. Step 2: Convert to fraction form
    5,708.62/7,877.90 = 3,224.62/x
  3. Step 3: Cross multiply
    5,708.62x = 7,877.90 × 3,224.62
  4. Step 4: Simplify right side
    5,708.62x = 25,403,233.90
  5. Step 5: Solve for x
    x = 25,403,233.90/5,708.62
  6. Step 6: Final answer
    x = 4,449.98

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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.