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Finding the Fourth Proportional to 5,226.49, 7,868.26 and 4,767.22

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Solution

The fourth proportional to 5,226.49, 7,868.26 and 4,767.22 is: 7,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.49 : 7,868.26 = 4,767.22 : x
  2. Step 2: Convert to fraction form
    5,226.49/7,868.26 = 4,767.22/x
  3. Step 3: Cross multiply
    5,226.49x = 7,868.26 × 4,767.22
  4. Step 4: Simplify right side
    5,226.49x = 37,509,726.44
  5. Step 5: Solve for x
    x = 37,509,726.44/5,226.49
  6. Step 6: Final answer
    x = 7,176.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.