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Finding the Fourth Proportional to 4,414, 6,596.58 and 3,544.24

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Solution

The fourth proportional to 4,414, 6,596.58 and 3,544.24 is: 5,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,414 : 6,596.58 = 3,544.24 : x
  2. Step 2: Convert to fraction form
    4,414/6,596.58 = 3,544.24/x
  3. Step 3: Cross multiply
    4,414x = 6,596.58 × 3,544.24
  4. Step 4: Simplify right side
    4,414x = 23,379,862.70
  5. Step 5: Solve for x
    x = 23,379,862.70/4,414
  6. Step 6: Final answer
    x = 5,296.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.