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Finding the Fourth Proportional to 3,827.68, 5,718.26 and 2,429.82

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Solution

The fourth proportional to 3,827.68, 5,718.26 and 2,429.82 is: 3,629.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.68 : 5,718.26 = 2,429.82 : x
  2. Step 2: Convert to fraction form
    3,827.68/5,718.26 = 2,429.82/x
  3. Step 3: Cross multiply
    3,827.68x = 5,718.26 × 2,429.82
  4. Step 4: Simplify right side
    3,827.68x = 13,894,348.59
  5. Step 5: Solve for x
    x = 13,894,348.59/3,827.68
  6. Step 6: Final answer
    x = 3,629.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.