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Finding the Fourth Proportional to 6,308.42, 8,691.84 and 4,208.90

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Solution

The fourth proportional to 6,308.42, 8,691.84 and 4,208.90 is: 5,799.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.42 : 8,691.84 = 4,208.90 : x
  2. Step 2: Convert to fraction form
    6,308.42/8,691.84 = 4,208.90/x
  3. Step 3: Cross multiply
    6,308.42x = 8,691.84 × 4,208.90
  4. Step 4: Simplify right side
    6,308.42x = 36,583,041.92
  5. Step 5: Solve for x
    x = 36,583,041.92/6,308.42
  6. Step 6: Final answer
    x = 5,799.09

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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.