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Finding the Fourth Proportional to 3,412.52, 4,706.34 and 3,066.92

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Solution

The fourth proportional to 3,412.52, 4,706.34 and 3,066.92 is: 4,229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.52 : 4,706.34 = 3,066.92 : x
  2. Step 2: Convert to fraction form
    3,412.52/4,706.34 = 3,066.92/x
  3. Step 3: Cross multiply
    3,412.52x = 4,706.34 × 3,066.92
  4. Step 4: Simplify right side
    3,412.52x = 14,433,968.27
  5. Step 5: Solve for x
    x = 14,433,968.27/3,412.52
  6. Step 6: Final answer
    x = 4,229.71

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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.