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Finding the Fourth Proportional to 3,728.50, 5,592.62 and 955.20

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Solution

The fourth proportional to 3,728.50, 5,592.62 and 955.20 is: 1,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.50 : 5,592.62 = 955.20 : x
  2. Step 2: Convert to fraction form
    3,728.50/5,592.62 = 955.20/x
  3. Step 3: Cross multiply
    3,728.50x = 5,592.62 × 955.20
  4. Step 4: Simplify right side
    3,728.50x = 5,342,052.04
  5. Step 5: Solve for x
    x = 5,342,052.04/3,728.50
  6. Step 6: Final answer
    x = 1,432.76

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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.