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Finding the Fourth Proportional to 6,438.41, 8,882.92 and 3,605.36

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Solution

The fourth proportional to 6,438.41, 8,882.92 and 3,605.36 is: 4,974.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.41 : 8,882.92 = 3,605.36 : x
  2. Step 2: Convert to fraction form
    6,438.41/8,882.92 = 3,605.36/x
  3. Step 3: Cross multiply
    6,438.41x = 8,882.92 × 3,605.36
  4. Step 4: Simplify right side
    6,438.41x = 32,026,071.02
  5. Step 5: Solve for x
    x = 32,026,071.02/6,438.41
  6. Step 6: Final answer
    x = 4,974.22

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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.