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Finding the Fourth Proportional to 4,242.26, 5,854.67 and 2,354.43

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Solution

The fourth proportional to 4,242.26, 5,854.67 and 2,354.43 is: 3,249.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.26 : 5,854.67 = 2,354.43 : x
  2. Step 2: Convert to fraction form
    4,242.26/5,854.67 = 2,354.43/x
  3. Step 3: Cross multiply
    4,242.26x = 5,854.67 × 2,354.43
  4. Step 4: Simplify right side
    4,242.26x = 13,784,398.92
  5. Step 5: Solve for x
    x = 13,784,398.92/4,242.26
  6. Step 6: Final answer
    x = 3,249.31

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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.