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Finding the Fourth Proportional to 3,597.38, 4,961.57 and 2,338.84

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Solution

The fourth proportional to 3,597.38, 4,961.57 and 2,338.84 is: 3,225.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.38 : 4,961.57 = 2,338.84 : x
  2. Step 2: Convert to fraction form
    3,597.38/4,961.57 = 2,338.84/x
  3. Step 3: Cross multiply
    3,597.38x = 4,961.57 × 2,338.84
  4. Step 4: Simplify right side
    3,597.38x = 11,604,326.04
  5. Step 5: Solve for x
    x = 11,604,326.04/3,597.38
  6. Step 6: Final answer
    x = 3,225.77

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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.