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Finding the Fourth Proportional to 4,664.46, 6,998.04 and 1,377.66

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Solution

The fourth proportional to 4,664.46, 6,998.04 and 1,377.66 is: 2,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.46 : 6,998.04 = 1,377.66 : x
  2. Step 2: Convert to fraction form
    4,664.46/6,998.04 = 1,377.66/x
  3. Step 3: Cross multiply
    4,664.46x = 6,998.04 × 1,377.66
  4. Step 4: Simplify right side
    4,664.46x = 9,640,919.79
  5. Step 5: Solve for x
    x = 9,640,919.79/4,664.46
  6. Step 6: Final answer
    x = 2,066.89

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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.