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Finding the Fourth Proportional to 3,850.20, 5,775.84 and 3,126

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Solution

The fourth proportional to 3,850.20, 5,775.84 and 3,126 is: 4,689.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.20 : 5,775.84 = 3,126 : x
  2. Step 2: Convert to fraction form
    3,850.20/5,775.84 = 3,126/x
  3. Step 3: Cross multiply
    3,850.20x = 5,775.84 × 3,126
  4. Step 4: Simplify right side
    3,850.20x = 18,055,275.84
  5. Step 5: Solve for x
    x = 18,055,275.84/3,850.20
  6. Step 6: Final answer
    x = 4,689.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.