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Finding the Fourth Proportional to 4,165.24, 6,247.72 and 1,087.24

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Solution

The fourth proportional to 4,165.24, 6,247.72 and 1,087.24 is: 1,630.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.24 : 6,247.72 = 1,087.24 : x
  2. Step 2: Convert to fraction form
    4,165.24/6,247.72 = 1,087.24/x
  3. Step 3: Cross multiply
    4,165.24x = 6,247.72 × 1,087.24
  4. Step 4: Simplify right side
    4,165.24x = 6,792,771.09
  5. Step 5: Solve for x
    x = 6,792,771.09/4,165.24
  6. Step 6: Final answer
    x = 1,630.82

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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.