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Finding the Fourth Proportional to 3,597.39, 4,963.41 and 2,270.61

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Solution

The fourth proportional to 3,597.39, 4,963.41 and 2,270.61 is: 3,132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.39 : 4,963.41 = 2,270.61 : x
  2. Step 2: Convert to fraction form
    3,597.39/4,963.41 = 2,270.61/x
  3. Step 3: Cross multiply
    3,597.39x = 4,963.41 × 2,270.61
  4. Step 4: Simplify right side
    3,597.39x = 11,269,968.38
  5. Step 5: Solve for x
    x = 11,269,968.38/3,597.39
  6. Step 6: Final answer
    x = 3,132.82

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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.