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Finding the Fourth Proportional to 3,463.68, 5,197.68 and 2,003.52

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Solution

The fourth proportional to 3,463.68, 5,197.68 and 2,003.52 is: 3,006.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.68 : 5,197.68 = 2,003.52 : x
  2. Step 2: Convert to fraction form
    3,463.68/5,197.68 = 2,003.52/x
  3. Step 3: Cross multiply
    3,463.68x = 5,197.68 × 2,003.52
  4. Step 4: Simplify right side
    3,463.68x = 10,413,655.83
  5. Step 5: Solve for x
    x = 10,413,655.83/3,463.68
  6. Step 6: Final answer
    x = 3,006.53

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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.