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Finding the Fourth Proportional to 5,722.56, 7,897.05 and 3,204.66

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Solution

The fourth proportional to 5,722.56, 7,897.05 and 3,204.66 is: 4,422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.56 : 7,897.05 = 3,204.66 : x
  2. Step 2: Convert to fraction form
    5,722.56/7,897.05 = 3,204.66/x
  3. Step 3: Cross multiply
    5,722.56x = 7,897.05 × 3,204.66
  4. Step 4: Simplify right side
    5,722.56x = 25,307,360.25
  5. Step 5: Solve for x
    x = 25,307,360.25/5,722.56
  6. Step 6: Final answer
    x = 4,422.38

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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.