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Finding the Fourth Proportional to 3,616.96, 5,425.52 and 1,884.48

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Solution

The fourth proportional to 3,616.96, 5,425.52 and 1,884.48 is: 2,826.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.96 : 5,425.52 = 1,884.48 : x
  2. Step 2: Convert to fraction form
    3,616.96/5,425.52 = 1,884.48/x
  3. Step 3: Cross multiply
    3,616.96x = 5,425.52 × 1,884.48
  4. Step 4: Simplify right side
    3,616.96x = 10,224,283.93
  5. Step 5: Solve for x
    x = 10,224,283.93/3,616.96
  6. Step 6: Final answer
    x = 2,826.76

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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.