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Finding the Fourth Proportional to 5,748.76, 7,936.14 and 3,895.48

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Solution

The fourth proportional to 5,748.76, 7,936.14 and 3,895.48 is: 5,377.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.76 : 7,936.14 = 3,895.48 : x
  2. Step 2: Convert to fraction form
    5,748.76/7,936.14 = 3,895.48/x
  3. Step 3: Cross multiply
    5,748.76x = 7,936.14 × 3,895.48
  4. Step 4: Simplify right side
    5,748.76x = 30,915,074.65
  5. Step 5: Solve for x
    x = 30,915,074.65/5,748.76
  6. Step 6: Final answer
    x = 5,377.69

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