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Finding the Fourth Proportional to 5,667.84, 8,504.10 and 2,744.46

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Solution

The fourth proportional to 5,667.84, 8,504.10 and 2,744.46 is: 4,117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.84 : 8,504.10 = 2,744.46 : x
  2. Step 2: Convert to fraction form
    5,667.84/8,504.10 = 2,744.46/x
  3. Step 3: Cross multiply
    5,667.84x = 8,504.10 × 2,744.46
  4. Step 4: Simplify right side
    5,667.84x = 23,339,162.29
  5. Step 5: Solve for x
    x = 23,339,162.29/5,667.84
  6. Step 6: Final answer
    x = 4,117.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.