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Finding the Fourth Proportional to 5,671.92, 8,503.80 and 2,862.51

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Solution

The fourth proportional to 5,671.92, 8,503.80 and 2,862.51 is: 4,291.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.92 : 8,503.80 = 2,862.51 : x
  2. Step 2: Convert to fraction form
    5,671.92/8,503.80 = 2,862.51/x
  3. Step 3: Cross multiply
    5,671.92x = 8,503.80 × 2,862.51
  4. Step 4: Simplify right side
    5,671.92x = 24,342,212.54
  5. Step 5: Solve for x
    x = 24,342,212.54/5,671.92
  6. Step 6: Final answer
    x = 4,291.71

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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.