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Finding the Fourth Proportional to 3,969.90, 5,466 and 3,371.15

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Solution

The fourth proportional to 3,969.90, 5,466 and 3,371.15 is: 4,641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.90 : 5,466 = 3,371.15 : x
  2. Step 2: Convert to fraction form
    3,969.90/5,466 = 3,371.15/x
  3. Step 3: Cross multiply
    3,969.90x = 5,466 × 3,371.15
  4. Step 4: Simplify right side
    3,969.90x = 18,426,678.57
  5. Step 5: Solve for x
    x = 18,426,678.57/3,969.90
  6. Step 6: Final answer
    x = 4,641.60

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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.