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Finding the Fourth Proportional to 4,425.73, 6,641.61 and 1,828.65

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Solution

The fourth proportional to 4,425.73, 6,641.61 and 1,828.65 is: 2,744.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,425.73 : 6,641.61 = 1,828.65 : x
  2. Step 2: Convert to fraction form
    4,425.73/6,641.61 = 1,828.65/x
  3. Step 3: Cross multiply
    4,425.73x = 6,641.61 × 1,828.65
  4. Step 4: Simplify right side
    4,425.73x = 12,145,180.13
  5. Step 5: Solve for x
    x = 12,145,180.13/4,425.73
  6. Step 6: Final answer
    x = 2,744.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.