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Finding the Fourth Proportional to 4,182.90, 5,772.26 and 2,414.78

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Solution

The fourth proportional to 4,182.90, 5,772.26 and 2,414.78 is: 3,332.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.90 : 5,772.26 = 2,414.78 : x
  2. Step 2: Convert to fraction form
    4,182.90/5,772.26 = 2,414.78/x
  3. Step 3: Cross multiply
    4,182.90x = 5,772.26 × 2,414.78
  4. Step 4: Simplify right side
    4,182.90x = 13,938,697.07
  5. Step 5: Solve for x
    x = 13,938,697.07/4,182.90
  6. Step 6: Final answer
    x = 3,332.30

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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.