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Finding the Fourth Proportional to 4,662.20, 6,993.42 and 1,542.20

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Solution

The fourth proportional to 4,662.20, 6,993.42 and 1,542.20 is: 2,313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.20 : 6,993.42 = 1,542.20 : x
  2. Step 2: Convert to fraction form
    4,662.20/6,993.42 = 1,542.20/x
  3. Step 3: Cross multiply
    4,662.20x = 6,993.42 × 1,542.20
  4. Step 4: Simplify right side
    4,662.20x = 10,785,252.32
  5. Step 5: Solve for x
    x = 10,785,252.32/4,662.20
  6. Step 6: Final answer
    x = 2,313.34

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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.