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Finding the Fourth Proportional to 3,550.70, 4,899.99 and 1,978.90

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Solution

The fourth proportional to 3,550.70, 4,899.99 and 1,978.90 is: 2,730.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,550.70 : 4,899.99 = 1,978.90 : x
  2. Step 2: Convert to fraction form
    3,550.70/4,899.99 = 1,978.90/x
  3. Step 3: Cross multiply
    3,550.70x = 4,899.99 × 1,978.90
  4. Step 4: Simplify right side
    3,550.70x = 9,696,585.38
  5. Step 5: Solve for x
    x = 9,696,585.38/3,550.70
  6. Step 6: Final answer
    x = 2,730.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.