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Finding the Fourth Proportional to 4,145.66, 6,219.42 and 2,199.23

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Solution

The fourth proportional to 4,145.66, 6,219.42 and 2,199.23 is: 3,299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.66 : 6,219.42 = 2,199.23 : x
  2. Step 2: Convert to fraction form
    4,145.66/6,219.42 = 2,199.23/x
  3. Step 3: Cross multiply
    4,145.66x = 6,219.42 × 2,199.23
  4. Step 4: Simplify right side
    4,145.66x = 13,677,935.05
  5. Step 5: Solve for x
    x = 13,677,935.05/4,145.66
  6. Step 6: Final answer
    x = 3,299.34

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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.