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Finding the Fourth Proportional to 6,436.40, 8,882.16 and 3,641.76

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Solution

The fourth proportional to 6,436.40, 8,882.16 and 3,641.76 is: 5,025.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.40 : 8,882.16 = 3,641.76 : x
  2. Step 2: Convert to fraction form
    6,436.40/8,882.16 = 3,641.76/x
  3. Step 3: Cross multiply
    6,436.40x = 8,882.16 × 3,641.76
  4. Step 4: Simplify right side
    6,436.40x = 32,346,695.00
  5. Step 5: Solve for x
    x = 32,346,695.00/6,436.40
  6. Step 6: Final answer
    x = 5,025.59

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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.