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Finding the Fourth Proportional to 6,475.50, 8,936.19 and 3,681

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Solution

The fourth proportional to 6,475.50, 8,936.19 and 3,681 is: 5,079.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.50 : 8,936.19 = 3,681 : x
  2. Step 2: Convert to fraction form
    6,475.50/8,936.19 = 3,681/x
  3. Step 3: Cross multiply
    6,475.50x = 8,936.19 × 3,681
  4. Step 4: Simplify right side
    6,475.50x = 32,894,115.39
  5. Step 5: Solve for x
    x = 32,894,115.39/6,475.50
  6. Step 6: Final answer
    x = 5,079.78

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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.