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Finding the Fourth Proportional to 3,686.28, 5,530.11 and 1,221.13

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Solution

The fourth proportional to 3,686.28, 5,530.11 and 1,221.13 is: 1,831.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.28 : 5,530.11 = 1,221.13 : x
  2. Step 2: Convert to fraction form
    3,686.28/5,530.11 = 1,221.13/x
  3. Step 3: Cross multiply
    3,686.28x = 5,530.11 × 1,221.13
  4. Step 4: Simplify right side
    3,686.28x = 6,752,983.22
  5. Step 5: Solve for x
    x = 6,752,983.22/3,686.28
  6. Step 6: Final answer
    x = 1,831.92

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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.