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Finding the Fourth Proportional to 4,687.68, 6,468.90 and 2,591.76

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Solution

The fourth proportional to 4,687.68, 6,468.90 and 2,591.76 is: 3,576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.68 : 6,468.90 = 2,591.76 : x
  2. Step 2: Convert to fraction form
    4,687.68/6,468.90 = 2,591.76/x
  3. Step 3: Cross multiply
    4,687.68x = 6,468.90 × 2,591.76
  4. Step 4: Simplify right side
    4,687.68x = 16,765,836.26
  5. Step 5: Solve for x
    x = 16,765,836.26/4,687.68
  6. Step 6: Final answer
    x = 3,576.57

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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.