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Finding the Fourth Proportional to 4,710.64, 6,500.88 and 2,614.78

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Solution

The fourth proportional to 4,710.64, 6,500.88 and 2,614.78 is: 3,608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.64 : 6,500.88 = 2,614.78 : x
  2. Step 2: Convert to fraction form
    4,710.64/6,500.88 = 2,614.78/x
  3. Step 3: Cross multiply
    4,710.64x = 6,500.88 × 2,614.78
  4. Step 4: Simplify right side
    4,710.64x = 16,998,371.01
  5. Step 5: Solve for x
    x = 16,998,371.01/4,710.64
  6. Step 6: Final answer
    x = 3,608.51

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