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Finding the Fourth Proportional to 4,202.97, 6,305.49 and 1,281.12

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Solution

The fourth proportional to 4,202.97, 6,305.49 and 1,281.12 is: 1,922.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.97 : 6,305.49 = 1,281.12 : x
  2. Step 2: Convert to fraction form
    4,202.97/6,305.49 = 1,281.12/x
  3. Step 3: Cross multiply
    4,202.97x = 6,305.49 × 1,281.12
  4. Step 4: Simplify right side
    4,202.97x = 8,078,089.35
  5. Step 5: Solve for x
    x = 8,078,089.35/4,202.97
  6. Step 6: Final answer
    x = 1,922.00

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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.