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Finding the Fourth Proportional to 4,299.04, 6,449.64 and 1,377.64

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Solution

The fourth proportional to 4,299.04, 6,449.64 and 1,377.64 is: 2,066.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,299.04 : 6,449.64 = 1,377.64 : x
  2. Step 2: Convert to fraction form
    4,299.04/6,449.64 = 1,377.64/x
  3. Step 3: Cross multiply
    4,299.04x = 6,449.64 × 1,377.64
  4. Step 4: Simplify right side
    4,299.04x = 8,885,282.05
  5. Step 5: Solve for x
    x = 8,885,282.05/4,299.04
  6. Step 6: Final answer
    x = 2,066.81

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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.