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Finding the Fourth Proportional to 3,922.66, 5,415.81 and 2,432.16

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Solution

The fourth proportional to 3,922.66, 5,415.81 and 2,432.16 is: 3,357.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.66 : 5,415.81 = 2,432.16 : x
  2. Step 2: Convert to fraction form
    3,922.66/5,415.81 = 2,432.16/x
  3. Step 3: Cross multiply
    3,922.66x = 5,415.81 × 2,432.16
  4. Step 4: Simplify right side
    3,922.66x = 13,172,104.29
  5. Step 5: Solve for x
    x = 13,172,104.29/3,922.66
  6. Step 6: Final answer
    x = 3,357.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.