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Finding the Fourth Proportional to 3,866.41, 5,329.71 and 2,371.55

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Solution

The fourth proportional to 3,866.41, 5,329.71 and 2,371.55 is: 3,269.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.41 : 5,329.71 = 2,371.55 : x
  2. Step 2: Convert to fraction form
    3,866.41/5,329.71 = 2,371.55/x
  3. Step 3: Cross multiply
    3,866.41x = 5,329.71 × 2,371.55
  4. Step 4: Simplify right side
    3,866.41x = 12,639,673.75
  5. Step 5: Solve for x
    x = 12,639,673.75/3,866.41
  6. Step 6: Final answer
    x = 3,269.10

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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.