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Finding the Fourth Proportional to 5,300.52, 7,951.68 and 2,182.23

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Solution

The fourth proportional to 5,300.52, 7,951.68 and 2,182.23 is: 3,273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.52 : 7,951.68 = 2,182.23 : x
  2. Step 2: Convert to fraction form
    5,300.52/7,951.68 = 2,182.23/x
  3. Step 3: Cross multiply
    5,300.52x = 7,951.68 × 2,182.23
  4. Step 4: Simplify right side
    5,300.52x = 17,352,394.65
  5. Step 5: Solve for x
    x = 17,352,394.65/5,300.52
  6. Step 6: Final answer
    x = 3,273.72

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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.