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Finding the Fourth Proportional to 3,912.83, 5,870.45 and 3,499.32

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Solution

The fourth proportional to 3,912.83, 5,870.45 and 3,499.32 is: 5,250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.83 : 5,870.45 = 3,499.32 : x
  2. Step 2: Convert to fraction form
    3,912.83/5,870.45 = 3,499.32/x
  3. Step 3: Cross multiply
    3,912.83x = 5,870.45 × 3,499.32
  4. Step 4: Simplify right side
    3,912.83x = 20,542,591.84
  5. Step 5: Solve for x
    x = 20,542,591.84/3,912.83
  6. Step 6: Final answer
    x = 5,250.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.