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Finding the Fourth Proportional to 6,436.50, 8,882.55 and 3,642.18

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Solution

The fourth proportional to 6,436.50, 8,882.55 and 3,642.18 is: 5,026.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.50 : 8,882.55 = 3,642.18 : x
  2. Step 2: Convert to fraction form
    6,436.50/8,882.55 = 3,642.18/x
  3. Step 3: Cross multiply
    6,436.50x = 8,882.55 × 3,642.18
  4. Step 4: Simplify right side
    6,436.50x = 32,351,845.96
  5. Step 5: Solve for x
    x = 32,351,845.96/6,436.50
  6. Step 6: Final answer
    x = 5,026.31

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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.