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Finding the Fourth Proportional to 5,169.97, 7,736.49 and 4,479.01

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Solution

The fourth proportional to 5,169.97, 7,736.49 and 4,479.01 is: 6,702.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.97 : 7,736.49 = 4,479.01 : x
  2. Step 2: Convert to fraction form
    5,169.97/7,736.49 = 4,479.01/x
  3. Step 3: Cross multiply
    5,169.97x = 7,736.49 × 4,479.01
  4. Step 4: Simplify right side
    5,169.97x = 34,651,816.07
  5. Step 5: Solve for x
    x = 34,651,816.07/5,169.97
  6. Step 6: Final answer
    x = 6,702.52

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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.