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Finding the Fourth Proportional to 3,758.45, 5,186.56 and 2,079.80

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Solution

The fourth proportional to 3,758.45, 5,186.56 and 2,079.80 is: 2,870.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.45 : 5,186.56 = 2,079.80 : x
  2. Step 2: Convert to fraction form
    3,758.45/5,186.56 = 2,079.80/x
  3. Step 3: Cross multiply
    3,758.45x = 5,186.56 × 2,079.80
  4. Step 4: Simplify right side
    3,758.45x = 10,787,008.44
  5. Step 5: Solve for x
    x = 10,787,008.44/3,758.45
  6. Step 6: Final answer
    x = 2,870.07

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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.