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Finding the Fourth Proportional to 3,725.61, 5,142.38 and 2,133.15

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Solution

The fourth proportional to 3,725.61, 5,142.38 and 2,133.15 is: 2,944.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.61 : 5,142.38 = 2,133.15 : x
  2. Step 2: Convert to fraction form
    3,725.61/5,142.38 = 2,133.15/x
  3. Step 3: Cross multiply
    3,725.61x = 5,142.38 × 2,133.15
  4. Step 4: Simplify right side
    3,725.61x = 10,969,437.95
  5. Step 5: Solve for x
    x = 10,969,437.95/3,725.61
  6. Step 6: Final answer
    x = 2,944.34

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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.