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Finding the Fourth Proportional to 3,542.27, 5,307.86 and 2,241

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Solution

The fourth proportional to 3,542.27, 5,307.86 and 2,241 is: 3,358.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.27 : 5,307.86 = 2,241 : x
  2. Step 2: Convert to fraction form
    3,542.27/5,307.86 = 2,241/x
  3. Step 3: Cross multiply
    3,542.27x = 5,307.86 × 2,241
  4. Step 4: Simplify right side
    3,542.27x = 11,894,919.86
  5. Step 5: Solve for x
    x = 11,894,919.86/3,542.27
  6. Step 6: Final answer
    x = 3,358.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.