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Finding the Fourth Proportional to 3,393.69, 4,680 and 2,647.38

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Solution

The fourth proportional to 3,393.69, 4,680 and 2,647.38 is: 3,650.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.69 : 4,680 = 2,647.38 : x
  2. Step 2: Convert to fraction form
    3,393.69/4,680 = 2,647.38/x
  3. Step 3: Cross multiply
    3,393.69x = 4,680 × 2,647.38
  4. Step 4: Simplify right side
    3,393.69x = 12,389,738.40
  5. Step 5: Solve for x
    x = 12,389,738.40/3,393.69
  6. Step 6: Final answer
    x = 3,650.82

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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.