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Finding the Fourth Proportional to 3,722.70, 5,587.65 and 2,264.70

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Solution

The fourth proportional to 3,722.70, 5,587.65 and 2,264.70 is: 3,399.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.70 : 5,587.65 = 2,264.70 : x
  2. Step 2: Convert to fraction form
    3,722.70/5,587.65 = 2,264.70/x
  3. Step 3: Cross multiply
    3,722.70x = 5,587.65 × 2,264.70
  4. Step 4: Simplify right side
    3,722.70x = 12,654,350.96
  5. Step 5: Solve for x
    x = 12,654,350.96/3,722.70
  6. Step 6: Final answer
    x = 3,399.24

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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.