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Finding the Fourth Proportional to 5,430.38, 7,493.42 and 3,040.22

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Solution

The fourth proportional to 5,430.38, 7,493.42 and 3,040.22 is: 4,195.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.38 : 7,493.42 = 3,040.22 : x
  2. Step 2: Convert to fraction form
    5,430.38/7,493.42 = 3,040.22/x
  3. Step 3: Cross multiply
    5,430.38x = 7,493.42 × 3,040.22
  4. Step 4: Simplify right side
    5,430.38x = 22,781,645.35
  5. Step 5: Solve for x
    x = 22,781,645.35/5,430.38
  6. Step 6: Final answer
    x = 4,195.22

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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.