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Finding the Fourth Proportional to 4,658.27, 6,428.25 and 2,562.38

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Solution

The fourth proportional to 4,658.27, 6,428.25 and 2,562.38 is: 3,535.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.27 : 6,428.25 = 2,562.38 : x
  2. Step 2: Convert to fraction form
    4,658.27/6,428.25 = 2,562.38/x
  3. Step 3: Cross multiply
    4,658.27x = 6,428.25 × 2,562.38
  4. Step 4: Simplify right side
    4,658.27x = 16,471,619.24
  5. Step 5: Solve for x
    x = 16,471,619.24/4,658.27
  6. Step 6: Final answer
    x = 3,535.99

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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.