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Finding the Fourth Proportional to 6,298.53, 8,691.84 and 3,427.18

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Solution

The fourth proportional to 6,298.53, 8,691.84 and 3,427.18 is: 4,729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.53 : 8,691.84 = 3,427.18 : x
  2. Step 2: Convert to fraction form
    6,298.53/8,691.84 = 3,427.18/x
  3. Step 3: Cross multiply
    6,298.53x = 8,691.84 × 3,427.18
  4. Step 4: Simplify right side
    6,298.53x = 29,788,500.21
  5. Step 5: Solve for x
    x = 29,788,500.21/6,298.53
  6. Step 6: Final answer
    x = 4,729.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.