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Finding the Fourth Proportional to 5,167.73, 7,751.68 and 1,470.06

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Solution

The fourth proportional to 5,167.73, 7,751.68 and 1,470.06 is: 2,205.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.73 : 7,751.68 = 1,470.06 : x
  2. Step 2: Convert to fraction form
    5,167.73/7,751.68 = 1,470.06/x
  3. Step 3: Cross multiply
    5,167.73x = 7,751.68 × 1,470.06
  4. Step 4: Simplify right side
    5,167.73x = 11,395,398.04
  5. Step 5: Solve for x
    x = 11,395,398.04/5,167.73
  6. Step 6: Final answer
    x = 2,205.11

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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.