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Finding the Fourth Proportional to 3,158.90, 4,738.31 and 1,427.52

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Solution

The fourth proportional to 3,158.90, 4,738.31 and 1,427.52 is: 2,141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.90 : 4,738.31 = 1,427.52 : x
  2. Step 2: Convert to fraction form
    3,158.90/4,738.31 = 1,427.52/x
  3. Step 3: Cross multiply
    3,158.90x = 4,738.31 × 1,427.52
  4. Step 4: Simplify right side
    3,158.90x = 6,764,025.15
  5. Step 5: Solve for x
    x = 6,764,025.15/3,158.90
  6. Step 6: Final answer
    x = 2,141.26

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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.