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Finding the Fourth Proportional to 3,827.94, 5,282.85 and 2,149.71

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Solution

The fourth proportional to 3,827.94, 5,282.85 and 2,149.71 is: 2,966.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.94 : 5,282.85 = 2,149.71 : x
  2. Step 2: Convert to fraction form
    3,827.94/5,282.85 = 2,149.71/x
  3. Step 3: Cross multiply
    3,827.94x = 5,282.85 × 2,149.71
  4. Step 4: Simplify right side
    3,827.94x = 11,356,595.47
  5. Step 5: Solve for x
    x = 11,356,595.47/3,827.94
  6. Step 6: Final answer
    x = 2,966.76

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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.