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Finding the Fourth Proportional to 4,710.38, 6,500.52 and 2,614.50

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Solution

The fourth proportional to 4,710.38, 6,500.52 and 2,614.50 is: 3,608.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.38 : 6,500.52 = 2,614.50 : x
  2. Step 2: Convert to fraction form
    4,710.38/6,500.52 = 2,614.50/x
  3. Step 3: Cross multiply
    4,710.38x = 6,500.52 × 2,614.50
  4. Step 4: Simplify right side
    4,710.38x = 16,995,609.54
  5. Step 5: Solve for x
    x = 16,995,609.54/4,710.38
  6. Step 6: Final answer
    x = 3,608.12

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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.