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Finding the Fourth Proportional to 5,706.68, 7,872.27 and 3,612.02

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Solution

The fourth proportional to 5,706.68, 7,872.27 and 3,612.02 is: 4,982.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.68 : 7,872.27 = 3,612.02 : x
  2. Step 2: Convert to fraction form
    5,706.68/7,872.27 = 3,612.02/x
  3. Step 3: Cross multiply
    5,706.68x = 7,872.27 × 3,612.02
  4. Step 4: Simplify right side
    5,706.68x = 28,434,796.69
  5. Step 5: Solve for x
    x = 28,434,796.69/5,706.68
  6. Step 6: Final answer
    x = 4,982.72

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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.