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Finding the Fourth Proportional to 3,665.31, 5,497.84 and 1,032.83

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Solution

The fourth proportional to 3,665.31, 5,497.84 and 1,032.83 is: 1,549.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.31 : 5,497.84 = 1,032.83 : x
  2. Step 2: Convert to fraction form
    3,665.31/5,497.84 = 1,032.83/x
  3. Step 3: Cross multiply
    3,665.31x = 5,497.84 × 1,032.83
  4. Step 4: Simplify right side
    3,665.31x = 5,678,334.09
  5. Step 5: Solve for x
    x = 5,678,334.09/3,665.31
  6. Step 6: Final answer
    x = 1,549.21

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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.