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Finding the Fourth Proportional to 5,086.38, 7,642.35 and 3,238.32

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Solution

The fourth proportional to 5,086.38, 7,642.35 and 3,238.32 is: 4,865.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.38 : 7,642.35 = 3,238.32 : x
  2. Step 2: Convert to fraction form
    5,086.38/7,642.35 = 3,238.32/x
  3. Step 3: Cross multiply
    5,086.38x = 7,642.35 × 3,238.32
  4. Step 4: Simplify right side
    5,086.38x = 24,748,374.85
  5. Step 5: Solve for x
    x = 24,748,374.85/5,086.38
  6. Step 6: Final answer
    x = 4,865.62

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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.