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Finding the Fourth Proportional to 5,738.37, 7,920.07 and 3,348.62

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Solution

The fourth proportional to 5,738.37, 7,920.07 and 3,348.62 is: 4,621.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.37 : 7,920.07 = 3,348.62 : x
  2. Step 2: Convert to fraction form
    5,738.37/7,920.07 = 3,348.62/x
  3. Step 3: Cross multiply
    5,738.37x = 7,920.07 × 3,348.62
  4. Step 4: Simplify right side
    5,738.37x = 26,521,316.23
  5. Step 5: Solve for x
    x = 26,521,316.23/5,738.37
  6. Step 6: Final answer
    x = 4,621.75

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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.