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Finding the Fourth Proportional to 3,389.52, 5,083.65 and 1,540.17

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Solution

The fourth proportional to 3,389.52, 5,083.65 and 1,540.17 is: 2,309.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.52 : 5,083.65 = 1,540.17 : x
  2. Step 2: Convert to fraction form
    3,389.52/5,083.65 = 1,540.17/x
  3. Step 3: Cross multiply
    3,389.52x = 5,083.65 × 1,540.17
  4. Step 4: Simplify right side
    3,389.52x = 7,829,685.22
  5. Step 5: Solve for x
    x = 7,829,685.22/3,389.52
  6. Step 6: Final answer
    x = 2,309.97

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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.