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Finding the Fourth Proportional to 5,584.68, 7,706.82 and 3,066.83

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Solution

The fourth proportional to 5,584.68, 7,706.82 and 3,066.83 is: 4,232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.68 : 7,706.82 = 3,066.83 : x
  2. Step 2: Convert to fraction form
    5,584.68/7,706.82 = 3,066.83/x
  3. Step 3: Cross multiply
    5,584.68x = 7,706.82 × 3,066.83
  4. Step 4: Simplify right side
    5,584.68x = 23,635,506.78
  5. Step 5: Solve for x
    x = 23,635,506.78/5,584.68
  6. Step 6: Final answer
    x = 4,232.20

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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.