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Finding the Fourth Proportional to 3,849.65, 5,312.49 and 2,277.71

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Solution

The fourth proportional to 3,849.65, 5,312.49 and 2,277.71 is: 3,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.65 : 5,312.49 = 2,277.71 : x
  2. Step 2: Convert to fraction form
    3,849.65/5,312.49 = 2,277.71/x
  3. Step 3: Cross multiply
    3,849.65x = 5,312.49 × 2,277.71
  4. Step 4: Simplify right side
    3,849.65x = 12,100,311.60
  5. Step 5: Solve for x
    x = 12,100,311.60/3,849.65
  6. Step 6: Final answer
    x = 3,143.22

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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.