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Finding the Fourth Proportional to 5,397.84, 7,449.72 and 3,040.43

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Solution

The fourth proportional to 5,397.84, 7,449.72 and 3,040.43 is: 4,196.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397.84 : 7,449.72 = 3,040.43 : x
  2. Step 2: Convert to fraction form
    5,397.84/7,449.72 = 3,040.43/x
  3. Step 3: Cross multiply
    5,397.84x = 7,449.72 × 3,040.43
  4. Step 4: Simplify right side
    5,397.84x = 22,650,352.18
  5. Step 5: Solve for x
    x = 22,650,352.18/5,397.84
  6. Step 6: Final answer
    x = 4,196.19

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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.