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Finding the Fourth Proportional to 2,752.03, 3,800 and 2,542.14

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Solution

The fourth proportional to 2,752.03, 3,800 and 2,542.14 is: 3,510.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.03 : 3,800 = 2,542.14 : x
  2. Step 2: Convert to fraction form
    2,752.03/3,800 = 2,542.14/x
  3. Step 3: Cross multiply
    2,752.03x = 3,800 × 2,542.14
  4. Step 4: Simplify right side
    2,752.03x = 9,660,132
  5. Step 5: Solve for x
    x = 9,660,132/2,752.03
  6. Step 6: Final answer
    x = 3,510.18

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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.