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Finding the Fourth Proportional to 3,665.43, 5,497.07 and 1,032.75

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Solution

The fourth proportional to 3,665.43, 5,497.07 and 1,032.75 is: 1,548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.43 : 5,497.07 = 1,032.75 : x
  2. Step 2: Convert to fraction form
    3,665.43/5,497.07 = 1,032.75/x
  3. Step 3: Cross multiply
    3,665.43x = 5,497.07 × 1,032.75
  4. Step 4: Simplify right side
    3,665.43x = 5,677,099.04
  5. Step 5: Solve for x
    x = 5,677,099.04/3,665.43
  6. Step 6: Final answer
    x = 1,548.82

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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.