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Finding the Fourth Proportional to 3,732.46, 5,598.57 and 959.02

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Solution

The fourth proportional to 3,732.46, 5,598.57 and 959.02 is: 1,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.46 : 5,598.57 = 959.02 : x
  2. Step 2: Convert to fraction form
    3,732.46/5,598.57 = 959.02/x
  3. Step 3: Cross multiply
    3,732.46x = 5,598.57 × 959.02
  4. Step 4: Simplify right side
    3,732.46x = 5,369,140.60
  5. Step 5: Solve for x
    x = 5,369,140.60/3,732.46
  6. Step 6: Final answer
    x = 1,438.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.