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Finding the Fourth Proportional to 3,152.59, 4,729.96 and 1,397.36

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Solution

The fourth proportional to 3,152.59, 4,729.96 and 1,397.36 is: 2,096.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.59 : 4,729.96 = 1,397.36 : x
  2. Step 2: Convert to fraction form
    3,152.59/4,729.96 = 1,397.36/x
  3. Step 3: Cross multiply
    3,152.59x = 4,729.96 × 1,397.36
  4. Step 4: Simplify right side
    3,152.59x = 6,609,456.91
  5. Step 5: Solve for x
    x = 6,609,456.91/3,152.59
  6. Step 6: Final answer
    x = 2,096.52

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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.