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Finding the Fourth Proportional to 3,447.14, 4,754.92 and 3,006.10

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Solution

The fourth proportional to 3,447.14, 4,754.92 and 3,006.10 is: 4,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.14 : 4,754.92 = 3,006.10 : x
  2. Step 2: Convert to fraction form
    3,447.14/4,754.92 = 3,006.10/x
  3. Step 3: Cross multiply
    3,447.14x = 4,754.92 × 3,006.10
  4. Step 4: Simplify right side
    3,447.14x = 14,293,765.01
  5. Step 5: Solve for x
    x = 14,293,765.01/3,447.14
  6. Step 6: Final answer
    x = 4,146.56

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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.