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Finding the Fourth Proportional to 4,242.81, 5,854.38 and 2,354.10

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Solution

The fourth proportional to 4,242.81, 5,854.38 and 2,354.10 is: 3,248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.81 : 5,854.38 = 2,354.10 : x
  2. Step 2: Convert to fraction form
    4,242.81/5,854.38 = 2,354.10/x
  3. Step 3: Cross multiply
    4,242.81x = 5,854.38 × 2,354.10
  4. Step 4: Simplify right side
    4,242.81x = 13,781,765.18
  5. Step 5: Solve for x
    x = 13,781,765.18/4,242.81
  6. Step 6: Final answer
    x = 3,248.26

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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.