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Finding the Fourth Proportional to 3,882.42, 5,357.76 and 2,114.02

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Solution

The fourth proportional to 3,882.42, 5,357.76 and 2,114.02 is: 2,917.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.42 : 5,357.76 = 2,114.02 : x
  2. Step 2: Convert to fraction form
    3,882.42/5,357.76 = 2,114.02/x
  3. Step 3: Cross multiply
    3,882.42x = 5,357.76 × 2,114.02
  4. Step 4: Simplify right side
    3,882.42x = 11,326,411.80
  5. Step 5: Solve for x
    x = 11,326,411.80/3,882.42
  6. Step 6: Final answer
    x = 2,917.36

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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.