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Finding the Fourth Proportional to 3,915.68, 5,400.41 and 2,422.17

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Solution

The fourth proportional to 3,915.68, 5,400.41 and 2,422.17 is: 3,340.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.68 : 5,400.41 = 2,422.17 : x
  2. Step 2: Convert to fraction form
    3,915.68/5,400.41 = 2,422.17/x
  3. Step 3: Cross multiply
    3,915.68x = 5,400.41 × 2,422.17
  4. Step 4: Simplify right side
    3,915.68x = 13,080,698.98
  5. Step 5: Solve for x
    x = 13,080,698.98/3,915.68
  6. Step 6: Final answer
    x = 3,340.60

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Why These Related Problems?

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