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Finding the Fourth Proportional to 3,589.30, 5,378.69 and 2,551.30

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Solution

The fourth proportional to 3,589.30, 5,378.69 and 2,551.30 is: 3,823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.30 : 5,378.69 = 2,551.30 : x
  2. Step 2: Convert to fraction form
    3,589.30/5,378.69 = 2,551.30/x
  3. Step 3: Cross multiply
    3,589.30x = 5,378.69 × 2,551.30
  4. Step 4: Simplify right side
    3,589.30x = 13,722,639.04
  5. Step 5: Solve for x
    x = 13,722,639.04/3,589.30
  6. Step 6: Final answer
    x = 3,823.21

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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.