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Finding the Fourth Proportional to 3,626.24, 5,437.74 and 1,679

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Solution

The fourth proportional to 3,626.24, 5,437.74 and 1,679 is: 2,517.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.24 : 5,437.74 = 1,679 : x
  2. Step 2: Convert to fraction form
    3,626.24/5,437.74 = 1,679/x
  3. Step 3: Cross multiply
    3,626.24x = 5,437.74 × 1,679
  4. Step 4: Simplify right side
    3,626.24x = 9,129,965.46
  5. Step 5: Solve for x
    x = 9,129,965.46/3,626.24
  6. Step 6: Final answer
    x = 2,517.75

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