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Finding the Fourth Proportional to 4,309.43, 6,464.80 and 2,199.90

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Solution

The fourth proportional to 4,309.43, 6,464.80 and 2,199.90 is: 3,300.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.43 : 6,464.80 = 2,199.90 : x
  2. Step 2: Convert to fraction form
    4,309.43/6,464.80 = 2,199.90/x
  3. Step 3: Cross multiply
    4,309.43x = 6,464.80 × 2,199.90
  4. Step 4: Simplify right side
    4,309.43x = 14,221,902.52
  5. Step 5: Solve for x
    x = 14,221,902.52/4,309.43
  6. Step 6: Final answer
    x = 3,300.19

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