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Finding the Fourth Proportional to 3,543.14, 5,314.72 and 1,234.64

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Solution

The fourth proportional to 3,543.14, 5,314.72 and 1,234.64 is: 1,851.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.14 : 5,314.72 = 1,234.64 : x
  2. Step 2: Convert to fraction form
    3,543.14/5,314.72 = 1,234.64/x
  3. Step 3: Cross multiply
    3,543.14x = 5,314.72 × 1,234.64
  4. Step 4: Simplify right side
    3,543.14x = 6,561,765.90
  5. Step 5: Solve for x
    x = 6,561,765.90/3,543.14
  6. Step 6: Final answer
    x = 1,851.96

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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.