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Finding the Fourth Proportional to 5,468.09, 7,546.11 and 3,078.15

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Solution

The fourth proportional to 5,468.09, 7,546.11 and 3,078.15 is: 4,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.09 : 7,546.11 = 3,078.15 : x
  2. Step 2: Convert to fraction form
    5,468.09/7,546.11 = 3,078.15/x
  3. Step 3: Cross multiply
    5,468.09x = 7,546.11 × 3,078.15
  4. Step 4: Simplify right side
    5,468.09x = 23,228,049.51
  5. Step 5: Solve for x
    x = 23,228,049.51/5,468.09
  6. Step 6: Final answer
    x = 4,247.93

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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.