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Finding the Fourth Proportional to 4,728.78, 7,086.53 and 3,737.24

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Solution

The fourth proportional to 4,728.78, 7,086.53 and 3,737.24 is: 5,600.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.78 : 7,086.53 = 3,737.24 : x
  2. Step 2: Convert to fraction form
    4,728.78/7,086.53 = 3,737.24/x
  3. Step 3: Cross multiply
    4,728.78x = 7,086.53 × 3,737.24
  4. Step 4: Simplify right side
    4,728.78x = 26,484,023.27
  5. Step 5: Solve for x
    x = 26,484,023.27/4,728.78
  6. Step 6: Final answer
    x = 5,600.60

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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.