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Finding the Fourth Proportional to 5,807.50, 8,015.52 and 3,449.19

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Solution

The fourth proportional to 5,807.50, 8,015.52 and 3,449.19 is: 4,760.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.50 : 8,015.52 = 3,449.19 : x
  2. Step 2: Convert to fraction form
    5,807.50/8,015.52 = 3,449.19/x
  3. Step 3: Cross multiply
    5,807.50x = 8,015.52 × 3,449.19
  4. Step 4: Simplify right side
    5,807.50x = 27,647,021.37
  5. Step 5: Solve for x
    x = 27,647,021.37/5,807.50
  6. Step 6: Final answer
    x = 4,760.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.