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Finding the Fourth Proportional to 3,882.40, 5,820.33 and 3,222.42

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Solution

The fourth proportional to 3,882.40, 5,820.33 and 3,222.42 is: 4,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.40 : 5,820.33 = 3,222.42 : x
  2. Step 2: Convert to fraction form
    3,882.40/5,820.33 = 3,222.42/x
  3. Step 3: Cross multiply
    3,882.40x = 5,820.33 × 3,222.42
  4. Step 4: Simplify right side
    3,882.40x = 18,755,547.80
  5. Step 5: Solve for x
    x = 18,755,547.80/3,882.40
  6. Step 6: Final answer
    x = 4,830.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.