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Finding the Fourth Proportional to 5,737.28, 8,608.50 and 3,101.70

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Solution

The fourth proportional to 5,737.28, 8,608.50 and 3,101.70 is: 4,653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.28 : 8,608.50 = 3,101.70 : x
  2. Step 2: Convert to fraction form
    5,737.28/8,608.50 = 3,101.70/x
  3. Step 3: Cross multiply
    5,737.28x = 8,608.50 × 3,101.70
  4. Step 4: Simplify right side
    5,737.28x = 26,700,925.90
  5. Step 5: Solve for x
    x = 26,700,925.90/5,737.28
  6. Step 6: Final answer
    x = 4,653.94

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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.