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Finding the Fourth Proportional to 3,690.80, 5,528.10 and 2,589.20

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Solution

The fourth proportional to 3,690.80, 5,528.10 and 2,589.20 is: 3,878.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.80 : 5,528.10 = 2,589.20 : x
  2. Step 2: Convert to fraction form
    3,690.80/5,528.10 = 2,589.20/x
  3. Step 3: Cross multiply
    3,690.80x = 5,528.10 × 2,589.20
  4. Step 4: Simplify right side
    3,690.80x = 14,313,356.52
  5. Step 5: Solve for x
    x = 14,313,356.52/3,690.80
  6. Step 6: Final answer
    x = 3,878.12

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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.