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Finding the Fourth Proportional to 3,584.90, 5,378.03 and 1,244.81

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Solution

The fourth proportional to 3,584.90, 5,378.03 and 1,244.81 is: 1,867.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.90 : 5,378.03 = 1,244.81 : x
  2. Step 2: Convert to fraction form
    3,584.90/5,378.03 = 1,244.81/x
  3. Step 3: Cross multiply
    3,584.90x = 5,378.03 × 1,244.81
  4. Step 4: Simplify right side
    3,584.90x = 6,694,625.52
  5. Step 5: Solve for x
    x = 6,694,625.52/3,584.90
  6. Step 6: Final answer
    x = 1,867.45

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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.