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Finding the Fourth Proportional to 3,643.78, 5,028.45 and 1,987.78

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Solution

The fourth proportional to 3,643.78, 5,028.45 and 1,987.78 is: 2,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.78 : 5,028.45 = 1,987.78 : x
  2. Step 2: Convert to fraction form
    3,643.78/5,028.45 = 1,987.78/x
  3. Step 3: Cross multiply
    3,643.78x = 5,028.45 × 1,987.78
  4. Step 4: Simplify right side
    3,643.78x = 9,995,452.34
  5. Step 5: Solve for x
    x = 9,995,452.34/3,643.78
  6. Step 6: Final answer
    x = 2,743.15

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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.