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Finding the Fourth Proportional to 3,584.09, 5,376.20 and 1,244.17

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Solution

The fourth proportional to 3,584.09, 5,376.20 and 1,244.17 is: 1,866.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.09 : 5,376.20 = 1,244.17 : x
  2. Step 2: Convert to fraction form
    3,584.09/5,376.20 = 1,244.17/x
  3. Step 3: Cross multiply
    3,584.09x = 5,376.20 × 1,244.17
  4. Step 4: Simplify right side
    3,584.09x = 6,688,906.75
  5. Step 5: Solve for x
    x = 6,688,906.75/3,584.09
  6. Step 6: Final answer
    x = 1,866.28

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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.