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Finding the Fourth Proportional to 4,242.96, 5,854.32 and 2,474.82

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Solution

The fourth proportional to 4,242.96, 5,854.32 and 2,474.82 is: 3,414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.96 : 5,854.32 = 2,474.82 : x
  2. Step 2: Convert to fraction form
    4,242.96/5,854.32 = 2,474.82/x
  3. Step 3: Cross multiply
    4,242.96x = 5,854.32 × 2,474.82
  4. Step 4: Simplify right side
    4,242.96x = 14,488,388.22
  5. Step 5: Solve for x
    x = 14,488,388.22/4,242.96
  6. Step 6: Final answer
    x = 3,414.69

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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.