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Finding the Fourth Proportional to 3,977.73, 5,959.44 and 3,743.46

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Solution

The fourth proportional to 3,977.73, 5,959.44 and 3,743.46 is: 5,608.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.73 : 5,959.44 = 3,743.46 : x
  2. Step 2: Convert to fraction form
    3,977.73/5,959.44 = 3,743.46/x
  3. Step 3: Cross multiply
    3,977.73x = 5,959.44 × 3,743.46
  4. Step 4: Simplify right side
    3,977.73x = 22,308,925.26
  5. Step 5: Solve for x
    x = 22,308,925.26/3,977.73
  6. Step 6: Final answer
    x = 5,608.46

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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.