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Finding the Fourth Proportional to 2,906.36, 4,359.38 and 1,057.72

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Solution

The fourth proportional to 2,906.36, 4,359.38 and 1,057.72 is: 1,586.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.36 : 4,359.38 = 1,057.72 : x
  2. Step 2: Convert to fraction form
    2,906.36/4,359.38 = 1,057.72/x
  3. Step 3: Cross multiply
    2,906.36x = 4,359.38 × 1,057.72
  4. Step 4: Simplify right side
    2,906.36x = 4,611,003.41
  5. Step 5: Solve for x
    x = 4,611,003.41/2,906.36
  6. Step 6: Final answer
    x = 1,586.52

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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.