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Finding the Fourth Proportional to 5,398.10, 7,449.39 and 3,040.10

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Solution

The fourth proportional to 5,398.10, 7,449.39 and 3,040.10 is: 4,195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.10 : 7,449.39 = 3,040.10 : x
  2. Step 2: Convert to fraction form
    5,398.10/7,449.39 = 3,040.10/x
  3. Step 3: Cross multiply
    5,398.10x = 7,449.39 × 3,040.10
  4. Step 4: Simplify right side
    5,398.10x = 22,646,890.54
  5. Step 5: Solve for x
    x = 22,646,890.54/5,398.10
  6. Step 6: Final answer
    x = 4,195.34

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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.