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Finding the Fourth Proportional to 3,486.38, 4,809.83 and 1,993.50

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Solution

The fourth proportional to 3,486.38, 4,809.83 and 1,993.50 is: 2,750.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.38 : 4,809.83 = 1,993.50 : x
  2. Step 2: Convert to fraction form
    3,486.38/4,809.83 = 1,993.50/x
  3. Step 3: Cross multiply
    3,486.38x = 4,809.83 × 1,993.50
  4. Step 4: Simplify right side
    3,486.38x = 9,588,396.11
  5. Step 5: Solve for x
    x = 9,588,396.11/3,486.38
  6. Step 6: Final answer
    x = 2,750.24

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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.