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Finding the Fourth Proportional to 3,142.58, 4,335.37 and 1,947.25

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Solution

The fourth proportional to 3,142.58, 4,335.37 and 1,947.25 is: 2,686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.58 : 4,335.37 = 1,947.25 : x
  2. Step 2: Convert to fraction form
    3,142.58/4,335.37 = 1,947.25/x
  3. Step 3: Cross multiply
    3,142.58x = 4,335.37 × 1,947.25
  4. Step 4: Simplify right side
    3,142.58x = 8,442,049.23
  5. Step 5: Solve for x
    x = 8,442,049.23/3,142.58
  6. Step 6: Final answer
    x = 2,686.34

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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.