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Finding the Fourth Proportional to 2,750.97, 3,796.35 and 1,572.08

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Solution

The fourth proportional to 2,750.97, 3,796.35 and 1,572.08 is: 2,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.97 : 3,796.35 = 1,572.08 : x
  2. Step 2: Convert to fraction form
    2,750.97/3,796.35 = 1,572.08/x
  3. Step 3: Cross multiply
    2,750.97x = 3,796.35 × 1,572.08
  4. Step 4: Simplify right side
    2,750.97x = 5,968,165.91
  5. Step 5: Solve for x
    x = 5,968,165.91/2,750.97
  6. Step 6: Final answer
    x = 2,169.48

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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.