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Finding the Fourth Proportional to 6,224.29, 8,589.12 and 3,706.58

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Solution

The fourth proportional to 6,224.29, 8,589.12 and 3,706.58 is: 5,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.29 : 8,589.12 = 3,706.58 : x
  2. Step 2: Convert to fraction form
    6,224.29/8,589.12 = 3,706.58/x
  3. Step 3: Cross multiply
    6,224.29x = 8,589.12 × 3,706.58
  4. Step 4: Simplify right side
    6,224.29x = 31,836,267.98
  5. Step 5: Solve for x
    x = 31,836,267.98/6,224.29
  6. Step 6: Final answer
    x = 5,114.85

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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.