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Finding the Fourth Proportional to 3,963.79, 5,470.16 and 2,195.43

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Solution

The fourth proportional to 3,963.79, 5,470.16 and 2,195.43 is: 3,029.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.79 : 5,470.16 = 2,195.43 : x
  2. Step 2: Convert to fraction form
    3,963.79/5,470.16 = 2,195.43/x
  3. Step 3: Cross multiply
    3,963.79x = 5,470.16 × 2,195.43
  4. Step 4: Simplify right side
    3,963.79x = 12,009,343.44
  5. Step 5: Solve for x
    x = 12,009,343.44/3,963.79
  6. Step 6: Final answer
    x = 3,029.77

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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.