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Finding the Fourth Proportional to 5,024.71, 7,538.21 and 1,737.80

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Solution

The fourth proportional to 5,024.71, 7,538.21 and 1,737.80 is: 2,607.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.71 : 7,538.21 = 1,737.80 : x
  2. Step 2: Convert to fraction form
    5,024.71/7,538.21 = 1,737.80/x
  3. Step 3: Cross multiply
    5,024.71x = 7,538.21 × 1,737.80
  4. Step 4: Simplify right side
    5,024.71x = 13,099,910.12
  5. Step 5: Solve for x
    x = 13,099,910.12/5,024.71
  6. Step 6: Final answer
    x = 2,607.10

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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.