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Finding the Fourth Proportional to 5,584.62, 7,706.31 and 3,066.66

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Solution

The fourth proportional to 5,584.62, 7,706.31 and 3,066.66 is: 4,231.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.62 : 7,706.31 = 3,066.66 : x
  2. Step 2: Convert to fraction form
    5,584.62/7,706.31 = 3,066.66/x
  3. Step 3: Cross multiply
    5,584.62x = 7,706.31 × 3,066.66
  4. Step 4: Simplify right side
    5,584.62x = 23,632,632.62
  5. Step 5: Solve for x
    x = 23,632,632.62/5,584.62
  6. Step 6: Final answer
    x = 4,231.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.