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Finding the Fourth Proportional to 3,971.76, 5,481.28 and 2,293.47

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Solution

The fourth proportional to 3,971.76, 5,481.28 and 2,293.47 is: 3,165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.76 : 5,481.28 = 2,293.47 : x
  2. Step 2: Convert to fraction form
    3,971.76/5,481.28 = 2,293.47/x
  3. Step 3: Cross multiply
    3,971.76x = 5,481.28 × 2,293.47
  4. Step 4: Simplify right side
    3,971.76x = 12,571,139.77
  5. Step 5: Solve for x
    x = 12,571,139.77/3,971.76
  6. Step 6: Final answer
    x = 3,165.13

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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.