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Finding the Fourth Proportional to 3,696.58, 5,544.87 and 2,156.50

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Solution

The fourth proportional to 3,696.58, 5,544.87 and 2,156.50 is: 3,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.58 : 5,544.87 = 2,156.50 : x
  2. Step 2: Convert to fraction form
    3,696.58/5,544.87 = 2,156.50/x
  3. Step 3: Cross multiply
    3,696.58x = 5,544.87 × 2,156.50
  4. Step 4: Simplify right side
    3,696.58x = 11,957,512.16
  5. Step 5: Solve for x
    x = 11,957,512.16/3,696.58
  6. Step 6: Final answer
    x = 3,234.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.