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Finding the Fourth Proportional to 3,937.60, 5,434.04 and 2,169.17

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Solution

The fourth proportional to 3,937.60, 5,434.04 and 2,169.17 is: 2,993.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.60 : 5,434.04 = 2,169.17 : x
  2. Step 2: Convert to fraction form
    3,937.60/5,434.04 = 2,169.17/x
  3. Step 3: Cross multiply
    3,937.60x = 5,434.04 × 2,169.17
  4. Step 4: Simplify right side
    3,937.60x = 11,787,356.55
  5. Step 5: Solve for x
    x = 11,787,356.55/3,937.60
  6. Step 6: Final answer
    x = 2,993.54

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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.