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Finding the Fourth Proportional to 3,826.62, 5,740.40 and 2,840.66

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Solution

The fourth proportional to 3,826.62, 5,740.40 and 2,840.66 is: 4,261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.62 : 5,740.40 = 2,840.66 : x
  2. Step 2: Convert to fraction form
    3,826.62/5,740.40 = 2,840.66/x
  3. Step 3: Cross multiply
    3,826.62x = 5,740.40 × 2,840.66
  4. Step 4: Simplify right side
    3,826.62x = 16,306,481.76
  5. Step 5: Solve for x
    x = 16,306,481.76/3,826.62
  6. Step 6: Final answer
    x = 4,261.33

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1.5x scale

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.