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Finding the Fourth Proportional to 3,842.29, 5,299.37 and 2,780.22

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Solution

The fourth proportional to 3,842.29, 5,299.37 and 2,780.22 is: 3,834.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.29 : 5,299.37 = 2,780.22 : x
  2. Step 2: Convert to fraction form
    3,842.29/5,299.37 = 2,780.22/x
  3. Step 3: Cross multiply
    3,842.29x = 5,299.37 × 2,780.22
  4. Step 4: Simplify right side
    3,842.29x = 14,733,446.50
  5. Step 5: Solve for x
    x = 14,733,446.50/3,842.29
  6. Step 6: Final answer
    x = 3,834.55

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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.