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Finding the Fourth Proportional to 4,589.36, 6,880.23 and 3,807.20

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Solution

The fourth proportional to 4,589.36, 6,880.23 and 3,807.20 is: 5,707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.36 : 6,880.23 = 3,807.20 : x
  2. Step 2: Convert to fraction form
    4,589.36/6,880.23 = 3,807.20/x
  3. Step 3: Cross multiply
    4,589.36x = 6,880.23 × 3,807.20
  4. Step 4: Simplify right side
    4,589.36x = 26,194,377.25
  5. Step 5: Solve for x
    x = 26,194,377.25/4,589.36
  6. Step 6: Final answer
    x = 5,707.64

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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.