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Finding the Fourth Proportional to 5,392.40, 7,441.49 and 3,034.54

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Solution

The fourth proportional to 5,392.40, 7,441.49 and 3,034.54 is: 4,187.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,392.40 : 7,441.49 = 3,034.54 : x
  2. Step 2: Convert to fraction form
    5,392.40/7,441.49 = 3,034.54/x
  3. Step 3: Cross multiply
    5,392.40x = 7,441.49 × 3,034.54
  4. Step 4: Simplify right side
    5,392.40x = 22,581,488.05
  5. Step 5: Solve for x
    x = 22,581,488.05/5,392.40
  6. Step 6: Final answer
    x = 4,187.65

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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.