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Finding the Fourth Proportional to 5,465.36, 8,198.04 and 2,540.25

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Solution

The fourth proportional to 5,465.36, 8,198.04 and 2,540.25 is: 3,810.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.36 : 8,198.04 = 2,540.25 : x
  2. Step 2: Convert to fraction form
    5,465.36/8,198.04 = 2,540.25/x
  3. Step 3: Cross multiply
    5,465.36x = 8,198.04 × 2,540.25
  4. Step 4: Simplify right side
    5,465.36x = 20,825,071.11
  5. Step 5: Solve for x
    x = 20,825,071.11/5,465.36
  6. Step 6: Final answer
    x = 3,810.38

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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.