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Finding the Fourth Proportional to 3,489.04, 5,233.55 and 891.97

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Solution

The fourth proportional to 3,489.04, 5,233.55 and 891.97 is: 1,337.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.04 : 5,233.55 = 891.97 : x
  2. Step 2: Convert to fraction form
    3,489.04/5,233.55 = 891.97/x
  3. Step 3: Cross multiply
    3,489.04x = 5,233.55 × 891.97
  4. Step 4: Simplify right side
    3,489.04x = 4,668,138.97
  5. Step 5: Solve for x
    x = 4,668,138.97/3,489.04
  6. Step 6: Final answer
    x = 1,337.95

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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.