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Finding the Fourth Proportional to 3,550.29, 4,898.10 and 2,057.66

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Solution

The fourth proportional to 3,550.29, 4,898.10 and 2,057.66 is: 2,838.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,550.29 : 4,898.10 = 2,057.66 : x
  2. Step 2: Convert to fraction form
    3,550.29/4,898.10 = 2,057.66/x
  3. Step 3: Cross multiply
    3,550.29x = 4,898.10 × 2,057.66
  4. Step 4: Simplify right side
    3,550.29x = 10,078,624.45
  5. Step 5: Solve for x
    x = 10,078,624.45/3,550.29
  6. Step 6: Final answer
    x = 2,838.82

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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.