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Finding the Fourth Proportional to 3,138.32, 4,330.68 and 1,959.32

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Solution

The fourth proportional to 3,138.32, 4,330.68 and 1,959.32 is: 2,703.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.32 : 4,330.68 = 1,959.32 : x
  2. Step 2: Convert to fraction form
    3,138.32/4,330.68 = 1,959.32/x
  3. Step 3: Cross multiply
    3,138.32x = 4,330.68 × 1,959.32
  4. Step 4: Simplify right side
    3,138.32x = 8,485,187.94
  5. Step 5: Solve for x
    x = 8,485,187.94/3,138.32
  6. Step 6: Final answer
    x = 2,703.74

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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.