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Finding the Fourth Proportional to 3,658.20, 5,046.48 and 2,817.24

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Solution

The fourth proportional to 3,658.20, 5,046.48 and 2,817.24 is: 3,886.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.20 : 5,046.48 = 2,817.24 : x
  2. Step 2: Convert to fraction form
    3,658.20/5,046.48 = 2,817.24/x
  3. Step 3: Cross multiply
    3,658.20x = 5,046.48 × 2,817.24
  4. Step 4: Simplify right side
    3,658.20x = 14,217,145.32
  5. Step 5: Solve for x
    x = 14,217,145.32/3,658.20
  6. Step 6: Final answer
    x = 3,886.38

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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.