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Finding the Fourth Proportional to 3,842.19, 5,757.71 and 2,085.71

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Solution

The fourth proportional to 3,842.19, 5,757.71 and 2,085.71 is: 3,125.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.19 : 5,757.71 = 2,085.71 : x
  2. Step 2: Convert to fraction form
    3,842.19/5,757.71 = 2,085.71/x
  3. Step 3: Cross multiply
    3,842.19x = 5,757.71 × 2,085.71
  4. Step 4: Simplify right side
    3,842.19x = 12,008,874.11
  5. Step 5: Solve for x
    x = 12,008,874.11/3,842.19
  6. Step 6: Final answer
    x = 3,125.53

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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.