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Finding the Fourth Proportional to 3,822.50, 5,726.32 and 2,820.02

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Solution

The fourth proportional to 3,822.50, 5,726.32 and 2,820.02 is: 4,224.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.50 : 5,726.32 = 2,820.02 : x
  2. Step 2: Convert to fraction form
    3,822.50/5,726.32 = 2,820.02/x
  3. Step 3: Cross multiply
    3,822.50x = 5,726.32 × 2,820.02
  4. Step 4: Simplify right side
    3,822.50x = 16,148,336.93
  5. Step 5: Solve for x
    x = 16,148,336.93/3,822.50
  6. Step 6: Final answer
    x = 4,224.55

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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.