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Finding the Fourth Proportional to 3,968.33, 5,952.89 and 1,470.18

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Solution

The fourth proportional to 3,968.33, 5,952.89 and 1,470.18 is: 2,205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.33 : 5,952.89 = 1,470.18 : x
  2. Step 2: Convert to fraction form
    3,968.33/5,952.89 = 1,470.18/x
  3. Step 3: Cross multiply
    3,968.33x = 5,952.89 × 1,470.18
  4. Step 4: Simplify right side
    3,968.33x = 8,751,812.47
  5. Step 5: Solve for x
    x = 8,751,812.47/3,968.33
  6. Step 6: Final answer
    x = 2,205.41

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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.