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Finding the Fourth Proportional to 5,219.36, 7,194.34 and 4,098.52

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Solution

The fourth proportional to 5,219.36, 7,194.34 and 4,098.52 is: 5,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.36 : 7,194.34 = 4,098.52 : x
  2. Step 2: Convert to fraction form
    5,219.36/7,194.34 = 4,098.52/x
  3. Step 3: Cross multiply
    5,219.36x = 7,194.34 × 4,098.52
  4. Step 4: Simplify right side
    5,219.36x = 29,486,146.38
  5. Step 5: Solve for x
    x = 29,486,146.38/5,219.36
  6. Step 6: Final answer
    x = 5,649.38

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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.