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Finding the Fourth Proportional to 3,774.72, 5,654.68 and 2,472.24

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Solution

The fourth proportional to 3,774.72, 5,654.68 and 2,472.24 is: 3,703.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.72 : 5,654.68 = 2,472.24 : x
  2. Step 2: Convert to fraction form
    3,774.72/5,654.68 = 2,472.24/x
  3. Step 3: Cross multiply
    3,774.72x = 5,654.68 × 2,472.24
  4. Step 4: Simplify right side
    3,774.72x = 13,979,726.08
  5. Step 5: Solve for x
    x = 13,979,726.08/3,774.72
  6. Step 6: Final answer
    x = 3,703.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.