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Finding the Fourth Proportional to 4,122.59, 5,689.13 and 2,354.13

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Solution

The fourth proportional to 4,122.59, 5,689.13 and 2,354.13 is: 3,248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.59 : 5,689.13 = 2,354.13 : x
  2. Step 2: Convert to fraction form
    4,122.59/5,689.13 = 2,354.13/x
  3. Step 3: Cross multiply
    4,122.59x = 5,689.13 × 2,354.13
  4. Step 4: Simplify right side
    4,122.59x = 13,392,939.84
  5. Step 5: Solve for x
    x = 13,392,939.84/4,122.59
  6. Step 6: Final answer
    x = 3,248.68

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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.