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Finding the Fourth Proportional to 3,626.67, 5,439.74 and 1,160.84

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Solution

The fourth proportional to 3,626.67, 5,439.74 and 1,160.84 is: 1,741.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.67 : 5,439.74 = 1,160.84 : x
  2. Step 2: Convert to fraction form
    3,626.67/5,439.74 = 1,160.84/x
  3. Step 3: Cross multiply
    3,626.67x = 5,439.74 × 1,160.84
  4. Step 4: Simplify right side
    3,626.67x = 6,314,634.78
  5. Step 5: Solve for x
    x = 6,314,634.78/3,626.67
  6. Step 6: Final answer
    x = 1,741.17

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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.