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Finding the Fourth Proportional to 5,761.96, 7,948.74 and 3,771.64

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Solution

The fourth proportional to 5,761.96, 7,948.74 and 3,771.64 is: 5,203.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.96 : 7,948.74 = 3,771.64 : x
  2. Step 2: Convert to fraction form
    5,761.96/7,948.74 = 3,771.64/x
  3. Step 3: Cross multiply
    5,761.96x = 7,948.74 × 3,771.64
  4. Step 4: Simplify right side
    5,761.96x = 29,979,785.73
  5. Step 5: Solve for x
    x = 29,979,785.73/5,761.96
  6. Step 6: Final answer
    x = 5,203.05

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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.