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Finding the Fourth Proportional to 3,586.75, 5,382.26 and 1,639.11

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Solution

The fourth proportional to 3,586.75, 5,382.26 and 1,639.11 is: 2,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.75 : 5,382.26 = 1,639.11 : x
  2. Step 2: Convert to fraction form
    3,586.75/5,382.26 = 1,639.11/x
  3. Step 3: Cross multiply
    3,586.75x = 5,382.26 × 1,639.11
  4. Step 4: Simplify right side
    3,586.75x = 8,822,116.19
  5. Step 5: Solve for x
    x = 8,822,116.19/3,586.75
  6. Step 6: Final answer
    x = 2,459.64

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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.