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Finding the Fourth Proportional to 3,884.76, 5,822.10 and 2,031.18

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Solution

The fourth proportional to 3,884.76, 5,822.10 and 2,031.18 is: 3,044.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.76 : 5,822.10 = 2,031.18 : x
  2. Step 2: Convert to fraction form
    3,884.76/5,822.10 = 2,031.18/x
  3. Step 3: Cross multiply
    3,884.76x = 5,822.10 × 2,031.18
  4. Step 4: Simplify right side
    3,884.76x = 11,825,733.08
  5. Step 5: Solve for x
    x = 11,825,733.08/3,884.76
  6. Step 6: Final answer
    x = 3,044.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.