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Finding the Fourth Proportional to 3,882.15, 5,358.22 and 2,556

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Solution

The fourth proportional to 3,882.15, 5,358.22 and 2,556 is: 3,527.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.15 : 5,358.22 = 2,556 : x
  2. Step 2: Convert to fraction form
    3,882.15/5,358.22 = 2,556/x
  3. Step 3: Cross multiply
    3,882.15x = 5,358.22 × 2,556
  4. Step 4: Simplify right side
    3,882.15x = 13,695,603.93
  5. Step 5: Solve for x
    x = 13,695,603.93/3,882.15
  6. Step 6: Final answer
    x = 3,527.84

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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.