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Finding the Fourth Proportional to 3,714.29, 5,580.14 and 3,504.13

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Solution

The fourth proportional to 3,714.29, 5,580.14 and 3,504.13 is: 5,264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.29 : 5,580.14 = 3,504.13 : x
  2. Step 2: Convert to fraction form
    3,714.29/5,580.14 = 3,504.13/x
  3. Step 3: Cross multiply
    3,714.29x = 5,580.14 × 3,504.13
  4. Step 4: Simplify right side
    3,714.29x = 19,553,524.22
  5. Step 5: Solve for x
    x = 19,553,524.22/3,714.29
  6. Step 6: Final answer
    x = 5,264.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.