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Finding the Fourth Proportional to 3,732.06, 5,598.06 and 958.72

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Solution

The fourth proportional to 3,732.06, 5,598.06 and 958.72 is: 1,438.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.06 : 5,598.06 = 958.72 : x
  2. Step 2: Convert to fraction form
    3,732.06/5,598.06 = 958.72/x
  3. Step 3: Cross multiply
    3,732.06x = 5,598.06 × 958.72
  4. Step 4: Simplify right side
    3,732.06x = 5,366,972.08
  5. Step 5: Solve for x
    x = 5,366,972.08/3,732.06
  6. Step 6: Final answer
    x = 1,438.07

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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.