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Finding the Fourth Proportional to 3,882.96, 5,358.32 and 2,114.56

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Solution

The fourth proportional to 3,882.96, 5,358.32 and 2,114.56 is: 2,918.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.96 : 5,358.32 = 2,114.56 : x
  2. Step 2: Convert to fraction form
    3,882.96/5,358.32 = 2,114.56/x
  3. Step 3: Cross multiply
    3,882.96x = 5,358.32 × 2,114.56
  4. Step 4: Simplify right side
    3,882.96x = 11,330,478.57
  5. Step 5: Solve for x
    x = 11,330,478.57/3,882.96
  6. Step 6: Final answer
    x = 2,918.00

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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.