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Finding the Fourth Proportional to 3,005.92, 4,509.33 and 1,057.78

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Solution

The fourth proportional to 3,005.92, 4,509.33 and 1,057.78 is: 1,586.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.92 : 4,509.33 = 1,057.78 : x
  2. Step 2: Convert to fraction form
    3,005.92/4,509.33 = 1,057.78/x
  3. Step 3: Cross multiply
    3,005.92x = 4,509.33 × 1,057.78
  4. Step 4: Simplify right side
    3,005.92x = 4,769,879.09
  5. Step 5: Solve for x
    x = 4,769,879.09/3,005.92
  6. Step 6: Final answer
    x = 1,586.83

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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.