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Finding the Fourth Proportional to 3,732.49, 5,598.79 and 959.10

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Solution

The fourth proportional to 3,732.49, 5,598.79 and 959.10 is: 1,438.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.49 : 5,598.79 = 959.10 : x
  2. Step 2: Convert to fraction form
    3,732.49/5,598.79 = 959.10/x
  3. Step 3: Cross multiply
    3,732.49x = 5,598.79 × 959.10
  4. Step 4: Simplify right side
    3,732.49x = 5,369,801.89
  5. Step 5: Solve for x
    x = 5,369,801.89/3,732.49
  6. Step 6: Final answer
    x = 1,438.66

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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.