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Finding the Fourth Proportional to 4,242.79, 5,854.96 and 2,354.33

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Solution

The fourth proportional to 4,242.79, 5,854.96 and 2,354.33 is: 3,248.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.79 : 5,854.96 = 2,354.33 : x
  2. Step 2: Convert to fraction form
    4,242.79/5,854.96 = 2,354.33/x
  3. Step 3: Cross multiply
    4,242.79x = 5,854.96 × 2,354.33
  4. Step 4: Simplify right side
    4,242.79x = 13,784,496.21
  5. Step 5: Solve for x
    x = 13,784,496.21/4,242.79
  6. Step 6: Final answer
    x = 3,248.92

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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.