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Finding the Fourth Proportional to 3,371.77, 5,057.08 and 906.39

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Solution

The fourth proportional to 3,371.77, 5,057.08 and 906.39 is: 1,359.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,371.77 : 5,057.08 = 906.39 : x
  2. Step 2: Convert to fraction form
    3,371.77/5,057.08 = 906.39/x
  3. Step 3: Cross multiply
    3,371.77x = 5,057.08 × 906.39
  4. Step 4: Simplify right side
    3,371.77x = 4,583,686.74
  5. Step 5: Solve for x
    x = 4,583,686.74/3,371.77
  6. Step 6: Final answer
    x = 1,359.43

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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.