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Finding the Fourth Proportional to 3,686.46, 5,530.14 and 1,221.54

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Solution

The fourth proportional to 3,686.46, 5,530.14 and 1,221.54 is: 1,832.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.46 : 5,530.14 = 1,221.54 : x
  2. Step 2: Convert to fraction form
    3,686.46/5,530.14 = 1,221.54/x
  3. Step 3: Cross multiply
    3,686.46x = 5,530.14 × 1,221.54
  4. Step 4: Simplify right side
    3,686.46x = 6,755,287.22
  5. Step 5: Solve for x
    x = 6,755,287.22/3,686.46
  6. Step 6: Final answer
    x = 1,832.46

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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.