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Finding the Fourth Proportional to 3,497.58, 5,244.80 and 1,031.53

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Solution

The fourth proportional to 3,497.58, 5,244.80 and 1,031.53 is: 1,546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.58 : 5,244.80 = 1,031.53 : x
  2. Step 2: Convert to fraction form
    3,497.58/5,244.80 = 1,031.53/x
  3. Step 3: Cross multiply
    3,497.58x = 5,244.80 × 1,031.53
  4. Step 4: Simplify right side
    3,497.58x = 5,410,168.54
  5. Step 5: Solve for x
    x = 5,410,168.54/3,497.58
  6. Step 6: Final answer
    x = 1,546.83

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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.