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Finding the Fourth Proportional to 5,468.88, 7,546.24 and 3,078.50

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Solution

The fourth proportional to 5,468.88, 7,546.24 and 3,078.50 is: 4,247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.88 : 7,546.24 = 3,078.50 : x
  2. Step 2: Convert to fraction form
    5,468.88/7,546.24 = 3,078.50/x
  3. Step 3: Cross multiply
    5,468.88x = 7,546.24 × 3,078.50
  4. Step 4: Simplify right side
    5,468.88x = 23,231,111.01
  5. Step 5: Solve for x
    x = 23,231,111.01/5,468.88
  6. Step 6: Final answer
    x = 4,247.87

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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.