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Finding the Fourth Proportional to 5,768.95, 7,961.16 and 3,251.06

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Solution

The fourth proportional to 5,768.95, 7,961.16 and 3,251.06 is: 4,486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.95 : 7,961.16 = 3,251.06 : x
  2. Step 2: Convert to fraction form
    5,768.95/7,961.16 = 3,251.06/x
  3. Step 3: Cross multiply
    5,768.95x = 7,961.16 × 3,251.06
  4. Step 4: Simplify right side
    5,768.95x = 25,882,228.73
  5. Step 5: Solve for x
    x = 25,882,228.73/5,768.95
  6. Step 6: Final answer
    x = 4,486.47

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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.