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Finding the Fourth Proportional to 3,497.28, 5,245.08 and 1,031.43

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Solution

The fourth proportional to 3,497.28, 5,245.08 and 1,031.43 is: 1,546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.28 : 5,245.08 = 1,031.43 : x
  2. Step 2: Convert to fraction form
    3,497.28/5,245.08 = 1,031.43/x
  3. Step 3: Cross multiply
    3,497.28x = 5,245.08 × 1,031.43
  4. Step 4: Simplify right side
    3,497.28x = 5,409,932.86
  5. Step 5: Solve for x
    x = 5,409,932.86/3,497.28
  6. Step 6: Final answer
    x = 1,546.90

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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.