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Finding the Fourth Proportional to 6,449.87, 8,902.73 and 4,212.10

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Solution

The fourth proportional to 6,449.87, 8,902.73 and 4,212.10 is: 5,813.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.87 : 8,902.73 = 4,212.10 : x
  2. Step 2: Convert to fraction form
    6,449.87/8,902.73 = 4,212.10/x
  3. Step 3: Cross multiply
    6,449.87x = 8,902.73 × 4,212.10
  4. Step 4: Simplify right side
    6,449.87x = 37,499,189.03
  5. Step 5: Solve for x
    x = 37,499,189.03/6,449.87
  6. Step 6: Final answer
    x = 5,813.94

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