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Finding the Fourth Proportional to 3,884.50, 5,826.66 and 962.83

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Solution

The fourth proportional to 3,884.50, 5,826.66 and 962.83 is: 1,444.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.50 : 5,826.66 = 962.83 : x
  2. Step 2: Convert to fraction form
    3,884.50/5,826.66 = 962.83/x
  3. Step 3: Cross multiply
    3,884.50x = 5,826.66 × 962.83
  4. Step 4: Simplify right side
    3,884.50x = 5,610,083.05
  5. Step 5: Solve for x
    x = 5,610,083.05/3,884.50
  6. Step 6: Final answer
    x = 1,444.22

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Similar ratio
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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.