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Finding the Fourth Proportional to 3,882.07, 5,357.22 and 2,113.68

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Solution

The fourth proportional to 3,882.07, 5,357.22 and 2,113.68 is: 2,916.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.07 : 5,357.22 = 2,113.68 : x
  2. Step 2: Convert to fraction form
    3,882.07/5,357.22 = 2,113.68/x
  3. Step 3: Cross multiply
    3,882.07x = 5,357.22 × 2,113.68
  4. Step 4: Simplify right side
    3,882.07x = 11,323,448.77
  5. Step 5: Solve for x
    x = 11,323,448.77/3,882.07
  6. Step 6: Final answer
    x = 2,916.86

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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.