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Finding the Fourth Proportional to 6,298.35, 8,691.23 and 3,645.96

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Solution

The fourth proportional to 6,298.35, 8,691.23 and 3,645.96 is: 5,031.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.35 : 8,691.23 = 3,645.96 : x
  2. Step 2: Convert to fraction form
    6,298.35/8,691.23 = 3,645.96/x
  3. Step 3: Cross multiply
    6,298.35x = 8,691.23 × 3,645.96
  4. Step 4: Simplify right side
    6,298.35x = 31,687,858.70
  5. Step 5: Solve for x
    x = 31,687,858.70/6,298.35
  6. Step 6: Final answer
    x = 5,031.14

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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.