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Finding the Fourth Proportional to 4,066.48, 6,099.72 and 1,144.79

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Solution

The fourth proportional to 4,066.48, 6,099.72 and 1,144.79 is: 1,717.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066.48 : 6,099.72 = 1,144.79 : x
  2. Step 2: Convert to fraction form
    4,066.48/6,099.72 = 1,144.79/x
  3. Step 3: Cross multiply
    4,066.48x = 6,099.72 × 1,144.79
  4. Step 4: Simplify right side
    4,066.48x = 6,982,870.82
  5. Step 5: Solve for x
    x = 6,982,870.82/4,066.48
  6. Step 6: Final answer
    x = 1,717.18

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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.