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Finding the Fourth Proportional to 5,837.34, 8,055.54 and 3,184.76

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Solution

The fourth proportional to 5,837.34, 8,055.54 and 3,184.76 is: 4,394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.34 : 8,055.54 = 3,184.76 : x
  2. Step 2: Convert to fraction form
    5,837.34/8,055.54 = 3,184.76/x
  3. Step 3: Cross multiply
    5,837.34x = 8,055.54 × 3,184.76
  4. Step 4: Simplify right side
    5,837.34x = 25,654,961.57
  5. Step 5: Solve for x
    x = 25,654,961.57/5,837.34
  6. Step 6: Final answer
    x = 4,394.97

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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.