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Finding the Fourth Proportional to 6,436.77, 8,882 and 3,604.31

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Solution

The fourth proportional to 6,436.77, 8,882 and 3,604.31 is: 4,973.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.77 : 8,882 = 3,604.31 : x
  2. Step 2: Convert to fraction form
    6,436.77/8,882 = 3,604.31/x
  3. Step 3: Cross multiply
    6,436.77x = 8,882 × 3,604.31
  4. Step 4: Simplify right side
    6,436.77x = 32,013,481.42
  5. Step 5: Solve for x
    x = 32,013,481.42/6,436.77
  6. Step 6: Final answer
    x = 4,973.53

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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.