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Finding the Fourth Proportional to 5,584.56, 7,706.92 and 3,066.76

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Solution

The fourth proportional to 5,584.56, 7,706.92 and 3,066.76 is: 4,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.56 : 7,706.92 = 3,066.76 : x
  2. Step 2: Convert to fraction form
    5,584.56/7,706.92 = 3,066.76/x
  3. Step 3: Cross multiply
    5,584.56x = 7,706.92 × 3,066.76
  4. Step 4: Simplify right side
    5,584.56x = 23,635,273.98
  5. Step 5: Solve for x
    x = 23,635,273.98/5,584.56
  6. Step 6: Final answer
    x = 4,232.25

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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.