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Finding the Fourth Proportional to 5,754.38, 7,936.80 and 3,738.32

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Solution

The fourth proportional to 5,754.38, 7,936.80 and 3,738.32 is: 5,156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.38 : 7,936.80 = 3,738.32 : x
  2. Step 2: Convert to fraction form
    5,754.38/7,936.80 = 3,738.32/x
  3. Step 3: Cross multiply
    5,754.38x = 7,936.80 × 3,738.32
  4. Step 4: Simplify right side
    5,754.38x = 29,670,298.18
  5. Step 5: Solve for x
    x = 29,670,298.18/5,754.38
  6. Step 6: Final answer
    x = 5,156.12

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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.