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Finding the Fourth Proportional to 4,182.56, 5,772 and 2,414.32

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Solution

The fourth proportional to 4,182.56, 5,772 and 2,414.32 is: 3,331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.56 : 5,772 = 2,414.32 : x
  2. Step 2: Convert to fraction form
    4,182.56/5,772 = 2,414.32/x
  3. Step 3: Cross multiply
    4,182.56x = 5,772 × 2,414.32
  4. Step 4: Simplify right side
    4,182.56x = 13,935,455.04
  5. Step 5: Solve for x
    x = 13,935,455.04/4,182.56
  6. Step 6: Final answer
    x = 3,331.80

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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.