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Finding the Fourth Proportional to 5,225.97, 7,212.21 and 2,987.80

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Solution

The fourth proportional to 5,225.97, 7,212.21 and 2,987.80 is: 4,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.97 : 7,212.21 = 2,987.80 : x
  2. Step 2: Convert to fraction form
    5,225.97/7,212.21 = 2,987.80/x
  3. Step 3: Cross multiply
    5,225.97x = 7,212.21 × 2,987.80
  4. Step 4: Simplify right side
    5,225.97x = 21,548,641.04
  5. Step 5: Solve for x
    x = 21,548,641.04/5,225.97
  6. Step 6: Final answer
    x = 4,123.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.