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Finding the Fourth Proportional to 4,167.96, 6,221.51 and 3,642.49

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Solution

The fourth proportional to 4,167.96, 6,221.51 and 3,642.49 is: 5,437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.96 : 6,221.51 = 3,642.49 : x
  2. Step 2: Convert to fraction form
    4,167.96/6,221.51 = 3,642.49/x
  3. Step 3: Cross multiply
    4,167.96x = 6,221.51 × 3,642.49
  4. Step 4: Simplify right side
    4,167.96x = 22,661,787.96
  5. Step 5: Solve for x
    x = 22,661,787.96/4,167.96
  6. Step 6: Final answer
    x = 5,437.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.