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Finding the Fourth Proportional to 3,637.78, 5,017.38 and 3,134.48

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Solution

The fourth proportional to 3,637.78, 5,017.38 and 3,134.48 is: 4,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.78 : 5,017.38 = 3,134.48 : x
  2. Step 2: Convert to fraction form
    3,637.78/5,017.38 = 3,134.48/x
  3. Step 3: Cross multiply
    3,637.78x = 5,017.38 × 3,134.48
  4. Step 4: Simplify right side
    3,637.78x = 15,726,877.26
  5. Step 5: Solve for x
    x = 15,726,877.26/3,637.78
  6. Step 6: Final answer
    x = 4,323.21

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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.