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Finding the Fourth Proportional to 3,882.66, 5,359.23 and 3,684.32

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Solution

The fourth proportional to 3,882.66, 5,359.23 and 3,684.32 is: 5,085.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.66 : 5,359.23 = 3,684.32 : x
  2. Step 2: Convert to fraction form
    3,882.66/5,359.23 = 3,684.32/x
  3. Step 3: Cross multiply
    3,882.66x = 5,359.23 × 3,684.32
  4. Step 4: Simplify right side
    3,882.66x = 19,745,091.48
  5. Step 5: Solve for x
    x = 19,745,091.48/3,882.66
  6. Step 6: Final answer
    x = 5,085.45

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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.