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Finding the Fourth Proportional to 2,944.01, 4,061.51 and 2,571.01

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Solution

The fourth proportional to 2,944.01, 4,061.51 and 2,571.01 is: 3,546.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.01 : 4,061.51 = 2,571.01 : x
  2. Step 2: Convert to fraction form
    2,944.01/4,061.51 = 2,571.01/x
  3. Step 3: Cross multiply
    2,944.01x = 4,061.51 × 2,571.01
  4. Step 4: Simplify right side
    2,944.01x = 10,442,169.46
  5. Step 5: Solve for x
    x = 10,442,169.46/2,944.01
  6. Step 6: Final answer
    x = 3,546.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.