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Finding the Fourth Proportional to 4,700.87, 6,491.84 and 3,704.57

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Solution

The fourth proportional to 4,700.87, 6,491.84 and 3,704.57 is: 5,115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.87 : 6,491.84 = 3,704.57 : x
  2. Step 2: Convert to fraction form
    4,700.87/6,491.84 = 3,704.57/x
  3. Step 3: Cross multiply
    4,700.87x = 6,491.84 × 3,704.57
  4. Step 4: Simplify right side
    4,700.87x = 24,049,475.71
  5. Step 5: Solve for x
    x = 24,049,475.71/4,700.87
  6. Step 6: Final answer
    x = 5,115.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.