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Finding the Fourth Proportional to 5,662.57, 8,491.70 and 2,700.49

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Solution

The fourth proportional to 5,662.57, 8,491.70 and 2,700.49 is: 4,049.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.57 : 8,491.70 = 2,700.49 : x
  2. Step 2: Convert to fraction form
    5,662.57/8,491.70 = 2,700.49/x
  3. Step 3: Cross multiply
    5,662.57x = 8,491.70 × 2,700.49
  4. Step 4: Simplify right side
    5,662.57x = 22,931,737.43
  5. Step 5: Solve for x
    x = 22,931,737.43/5,662.57
  6. Step 6: Final answer
    x = 4,049.70

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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.