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Finding the Fourth Proportional to 3,489.38, 4,815.95 and 2,092.13

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Solution

The fourth proportional to 3,489.38, 4,815.95 and 2,092.13 is: 2,887.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.38 : 4,815.95 = 2,092.13 : x
  2. Step 2: Convert to fraction form
    3,489.38/4,815.95 = 2,092.13/x
  3. Step 3: Cross multiply
    3,489.38x = 4,815.95 × 2,092.13
  4. Step 4: Simplify right side
    3,489.38x = 10,075,558.93
  5. Step 5: Solve for x
    x = 10,075,558.93/3,489.38
  6. Step 6: Final answer
    x = 2,887.50

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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.