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Finding the Fourth Proportional to 3,965.47, 5,470.80 and 2,548.97

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Solution

The fourth proportional to 3,965.47, 5,470.80 and 2,548.97 is: 3,516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.47 : 5,470.80 = 2,548.97 : x
  2. Step 2: Convert to fraction form
    3,965.47/5,470.80 = 2,548.97/x
  3. Step 3: Cross multiply
    3,965.47x = 5,470.80 × 2,548.97
  4. Step 4: Simplify right side
    3,965.47x = 13,944,880.46
  5. Step 5: Solve for x
    x = 13,944,880.46/3,965.47
  6. Step 6: Final answer
    x = 3,516.57

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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.