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Finding the Fourth Proportional to 5,247.54, 7,867.44 and 1,736.28

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Solution

The fourth proportional to 5,247.54, 7,867.44 and 1,736.28 is: 2,603.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.54 : 7,867.44 = 1,736.28 : x
  2. Step 2: Convert to fraction form
    5,247.54/7,867.44 = 1,736.28/x
  3. Step 3: Cross multiply
    5,247.54x = 7,867.44 × 1,736.28
  4. Step 4: Simplify right side
    5,247.54x = 13,660,078.72
  5. Step 5: Solve for x
    x = 13,660,078.72/5,247.54
  6. Step 6: Final answer
    x = 2,603.14

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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.