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Finding the Fourth Proportional to 5,367.16, 8,046.42 and 2,291.32

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Solution

The fourth proportional to 5,367.16, 8,046.42 and 2,291.32 is: 3,435.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.16 : 8,046.42 = 2,291.32 : x
  2. Step 2: Convert to fraction form
    5,367.16/8,046.42 = 2,291.32/x
  3. Step 3: Cross multiply
    5,367.16x = 8,046.42 × 2,291.32
  4. Step 4: Simplify right side
    5,367.16x = 18,436,923.07
  5. Step 5: Solve for x
    x = 18,436,923.07/5,367.16
  6. Step 6: Final answer
    x = 3,435.14

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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.