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Finding the Fourth Proportional to 3,686.72, 5,530.14 and 1,221.55

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Solution

The fourth proportional to 3,686.72, 5,530.14 and 1,221.55 is: 1,832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.72 : 5,530.14 = 1,221.55 : x
  2. Step 2: Convert to fraction form
    3,686.72/5,530.14 = 1,221.55/x
  3. Step 3: Cross multiply
    3,686.72x = 5,530.14 × 1,221.55
  4. Step 4: Simplify right side
    3,686.72x = 6,755,328.69
  5. Step 5: Solve for x
    x = 6,755,328.69/3,686.72
  6. Step 6: Final answer
    x = 1,832.34

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