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Finding the Fourth Proportional to 3,371.32, 5,056.97 and 905.93

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Solution

The fourth proportional to 3,371.32, 5,056.97 and 905.93 is: 1,358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,371.32 : 5,056.97 = 905.93 : x
  2. Step 2: Convert to fraction form
    3,371.32/5,056.97 = 905.93/x
  3. Step 3: Cross multiply
    3,371.32x = 5,056.97 × 905.93
  4. Step 4: Simplify right side
    3,371.32x = 4,581,278.43
  5. Step 5: Solve for x
    x = 4,581,278.43/3,371.32
  6. Step 6: Final answer
    x = 1,358.90

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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.