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Finding the Fourth Proportional to 5,583.84, 7,706.64 and 3,227.34

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Solution

The fourth proportional to 5,583.84, 7,706.64 and 3,227.34 is: 4,454.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.84 : 7,706.64 = 3,227.34 : x
  2. Step 2: Convert to fraction form
    5,583.84/7,706.64 = 3,227.34/x
  3. Step 3: Cross multiply
    5,583.84x = 7,706.64 × 3,227.34
  4. Step 4: Simplify right side
    5,583.84x = 24,871,947.54
  5. Step 5: Solve for x
    x = 24,871,947.54/5,583.84
  6. Step 6: Final answer
    x = 4,454.27

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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.