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Finding the Fourth Proportional to 3,407.73, 4,700.25 and 3,293.43

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Solution

The fourth proportional to 3,407.73, 4,700.25 and 3,293.43 is: 4,542.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.73 : 4,700.25 = 3,293.43 : x
  2. Step 2: Convert to fraction form
    3,407.73/4,700.25 = 3,293.43/x
  3. Step 3: Cross multiply
    3,407.73x = 4,700.25 × 3,293.43
  4. Step 4: Simplify right side
    3,407.73x = 15,479,944.36
  5. Step 5: Solve for x
    x = 15,479,944.36/3,407.73
  6. Step 6: Final answer
    x = 4,542.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.