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Finding the Fourth Proportional to 3,480.38, 4,803.11 and 2,064.90

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Solution

The fourth proportional to 3,480.38, 4,803.11 and 2,064.90 is: 2,849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.38 : 4,803.11 = 2,064.90 : x
  2. Step 2: Convert to fraction form
    3,480.38/4,803.11 = 2,064.90/x
  3. Step 3: Cross multiply
    3,480.38x = 4,803.11 × 2,064.90
  4. Step 4: Simplify right side
    3,480.38x = 9,917,947.00
  5. Step 5: Solve for x
    x = 9,917,947.00/3,480.38
  6. Step 6: Final answer
    x = 2,849.68

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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.