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Finding the Fourth Proportional to 6,436.40, 8,882.80 and 3,917.90

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Solution

The fourth proportional to 6,436.40, 8,882.80 and 3,917.90 is: 5,407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.40 : 8,882.80 = 3,917.90 : x
  2. Step 2: Convert to fraction form
    6,436.40/8,882.80 = 3,917.90/x
  3. Step 3: Cross multiply
    6,436.40x = 8,882.80 × 3,917.90
  4. Step 4: Simplify right side
    6,436.40x = 34,801,934.53
  5. Step 5: Solve for x
    x = 34,801,934.53/6,436.40
  6. Step 6: Final answer
    x = 5,407.05

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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.