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Finding the Fourth Proportional to 3,165.13, 4,747.22 and 825.18

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Solution

The fourth proportional to 3,165.13, 4,747.22 and 825.18 is: 1,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.13 : 4,747.22 = 825.18 : x
  2. Step 2: Convert to fraction form
    3,165.13/4,747.22 = 825.18/x
  3. Step 3: Cross multiply
    3,165.13x = 4,747.22 × 825.18
  4. Step 4: Simplify right side
    3,165.13x = 3,917,311.00
  5. Step 5: Solve for x
    x = 3,917,311.00/3,165.13
  6. Step 6: Final answer
    x = 1,237.65

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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.