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Finding the Fourth Proportional to 3,497.72, 5,245.97 and 1,306.46

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Solution

The fourth proportional to 3,497.72, 5,245.97 and 1,306.46 is: 1,959.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.72 : 5,245.97 = 1,306.46 : x
  2. Step 2: Convert to fraction form
    3,497.72/5,245.97 = 1,306.46/x
  3. Step 3: Cross multiply
    3,497.72x = 5,245.97 × 1,306.46
  4. Step 4: Simplify right side
    3,497.72x = 6,853,656.55
  5. Step 5: Solve for x
    x = 6,853,656.55/3,497.72
  6. Step 6: Final answer
    x = 1,959.47

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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.