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Finding the Fourth Proportional to 3,901.32, 5,383.76 and 2,132.91

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Solution

The fourth proportional to 3,901.32, 5,383.76 and 2,132.91 is: 2,943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.32 : 5,383.76 = 2,132.91 : x
  2. Step 2: Convert to fraction form
    3,901.32/5,383.76 = 2,132.91/x
  3. Step 3: Cross multiply
    3,901.32x = 5,383.76 × 2,132.91
  4. Step 4: Simplify right side
    3,901.32x = 11,483,064.88
  5. Step 5: Solve for x
    x = 11,483,064.88/3,901.32
  6. Step 6: Final answer
    x = 2,943.38

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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.