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Finding the Fourth Proportional to 3,158.73, 4,738.10 and 850.23

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Solution

The fourth proportional to 3,158.73, 4,738.10 and 850.23 is: 1,275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.73 : 4,738.10 = 850.23 : x
  2. Step 2: Convert to fraction form
    3,158.73/4,738.10 = 850.23/x
  3. Step 3: Cross multiply
    3,158.73x = 4,738.10 × 850.23
  4. Step 4: Simplify right side
    3,158.73x = 4,028,470.51
  5. Step 5: Solve for x
    x = 4,028,470.51/3,158.73
  6. Step 6: Final answer
    x = 1,275.35

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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.