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Finding the Fourth Proportional to 3,531.68, 5,294.16 and 1,221.56

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Solution

The fourth proportional to 3,531.68, 5,294.16 and 1,221.56 is: 1,831.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.68 : 5,294.16 = 1,221.56 : x
  2. Step 2: Convert to fraction form
    3,531.68/5,294.16 = 1,221.56/x
  3. Step 3: Cross multiply
    3,531.68x = 5,294.16 × 1,221.56
  4. Step 4: Simplify right side
    3,531.68x = 6,467,134.09
  5. Step 5: Solve for x
    x = 6,467,134.09/3,531.68
  6. Step 6: Final answer
    x = 1,831.18

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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.