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Finding the Fourth Proportional to 4,471.34, 6,706.14 and 2,249.58

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Solution

The fourth proportional to 4,471.34, 6,706.14 and 2,249.58 is: 3,373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.34 : 6,706.14 = 2,249.58 : x
  2. Step 2: Convert to fraction form
    4,471.34/6,706.14 = 2,249.58/x
  3. Step 3: Cross multiply
    4,471.34x = 6,706.14 × 2,249.58
  4. Step 4: Simplify right side
    4,471.34x = 15,085,998.42
  5. Step 5: Solve for x
    x = 15,085,998.42/4,471.34
  6. Step 6: Final answer
    x = 3,373.93

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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.