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Finding the Fourth Proportional to 6,226.25, 8,589.29 and 3,706.92

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Solution

The fourth proportional to 6,226.25, 8,589.29 and 3,706.92 is: 5,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.25 : 8,589.29 = 3,706.92 : x
  2. Step 2: Convert to fraction form
    6,226.25/8,589.29 = 3,706.92/x
  3. Step 3: Cross multiply
    6,226.25x = 8,589.29 × 3,706.92
  4. Step 4: Simplify right side
    6,226.25x = 31,839,792.35
  5. Step 5: Solve for x
    x = 31,839,792.35/6,226.25
  6. Step 6: Final answer
    x = 5,113.80

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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.