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Finding the Fourth Proportional to 3,929.48, 5,893.32 and 1,737.02

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Solution

The fourth proportional to 3,929.48, 5,893.32 and 1,737.02 is: 2,605.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,929.48 : 5,893.32 = 1,737.02 : x
  2. Step 2: Convert to fraction form
    3,929.48/5,893.32 = 1,737.02/x
  3. Step 3: Cross multiply
    3,929.48x = 5,893.32 × 1,737.02
  4. Step 4: Simplify right side
    3,929.48x = 10,236,814.71
  5. Step 5: Solve for x
    x = 10,236,814.71/3,929.48
  6. Step 6: Final answer
    x = 2,605.13

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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.