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Finding the Fourth Proportional to 3,524, 4,863.15 and 2,031.92

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Solution

The fourth proportional to 3,524, 4,863.15 and 2,031.92 is: 2,804.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524 : 4,863.15 = 2,031.92 : x
  2. Step 2: Convert to fraction form
    3,524/4,863.15 = 2,031.92/x
  3. Step 3: Cross multiply
    3,524x = 4,863.15 × 2,031.92
  4. Step 4: Simplify right side
    3,524x = 9,881,531.75
  5. Step 5: Solve for x
    x = 9,881,531.75/3,524
  6. Step 6: Final answer
    x = 2,804.07

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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.