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Finding the Fourth Proportional to 4,687.65, 6,468.38 and 2,591.77

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Solution

The fourth proportional to 4,687.65, 6,468.38 and 2,591.77 is: 3,576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.65 : 6,468.38 = 2,591.77 : x
  2. Step 2: Convert to fraction form
    4,687.65/6,468.38 = 2,591.77/x
  3. Step 3: Cross multiply
    4,687.65x = 6,468.38 × 2,591.77
  4. Step 4: Simplify right side
    4,687.65x = 16,764,553.23
  5. Step 5: Solve for x
    x = 16,764,553.23/4,687.65
  6. Step 6: Final answer
    x = 3,576.32

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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.