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Finding the Fourth Proportional to 3,053.86, 4,217.79 and 2,057.41

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Solution

The fourth proportional to 3,053.86, 4,217.79 and 2,057.41 is: 2,841.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.86 : 4,217.79 = 2,057.41 : x
  2. Step 2: Convert to fraction form
    3,053.86/4,217.79 = 2,057.41/x
  3. Step 3: Cross multiply
    3,053.86x = 4,217.79 × 2,057.41
  4. Step 4: Simplify right side
    3,053.86x = 8,677,723.32
  5. Step 5: Solve for x
    x = 8,677,723.32/3,053.86
  6. Step 6: Final answer
    x = 2,841.56

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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.