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Finding the Fourth Proportional to 6,298.08, 8,691.21 and 3,645.44

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Solution

The fourth proportional to 6,298.08, 8,691.21 and 3,645.44 is: 5,030.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.08 : 8,691.21 = 3,645.44 : x
  2. Step 2: Convert to fraction form
    6,298.08/8,691.21 = 3,645.44/x
  3. Step 3: Cross multiply
    6,298.08x = 8,691.21 × 3,645.44
  4. Step 4: Simplify right side
    6,298.08x = 31,683,241.13
  5. Step 5: Solve for x
    x = 31,683,241.13/6,298.08
  6. Step 6: Final answer
    x = 5,030.62

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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.