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Finding the Fourth Proportional to 3,402.71, 5,099.36 and 1,755.88

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Solution

The fourth proportional to 3,402.71, 5,099.36 and 1,755.88 is: 2,631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.71 : 5,099.36 = 1,755.88 : x
  2. Step 2: Convert to fraction form
    3,402.71/5,099.36 = 1,755.88/x
  3. Step 3: Cross multiply
    3,402.71x = 5,099.36 × 1,755.88
  4. Step 4: Simplify right side
    3,402.71x = 8,953,842.71
  5. Step 5: Solve for x
    x = 8,953,842.71/3,402.71
  6. Step 6: Final answer
    x = 2,631.39

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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.