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Finding the Fourth Proportional to 2,572.97, 3,527.78 and 2,548.36

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Solution

The fourth proportional to 2,572.97, 3,527.78 and 2,548.36 is: 3,494.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.97 : 3,527.78 = 2,548.36 : x
  2. Step 2: Convert to fraction form
    2,572.97/3,527.78 = 2,548.36/x
  3. Step 3: Cross multiply
    2,572.97x = 3,527.78 × 2,548.36
  4. Step 4: Simplify right side
    2,572.97x = 8,990,052.28
  5. Step 5: Solve for x
    x = 8,990,052.28/2,572.97
  6. Step 6: Final answer
    x = 3,494.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.