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Finding the Fourth Proportional to 4,434.33, 6,651.53 and 1,968.49

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Solution

The fourth proportional to 4,434.33, 6,651.53 and 1,968.49 is: 2,952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,434.33 : 6,651.53 = 1,968.49 : x
  2. Step 2: Convert to fraction form
    4,434.33/6,651.53 = 1,968.49/x
  3. Step 3: Cross multiply
    4,434.33x = 6,651.53 × 1,968.49
  4. Step 4: Simplify right side
    4,434.33x = 13,093,470.29
  5. Step 5: Solve for x
    x = 13,093,470.29/4,434.33
  6. Step 6: Final answer
    x = 2,952.75

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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.