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Finding the Fourth Proportional to 4,066.44, 6,098.06 and 1,433.80

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Solution

The fourth proportional to 4,066.44, 6,098.06 and 1,433.80 is: 2,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066.44 : 6,098.06 = 1,433.80 : x
  2. Step 2: Convert to fraction form
    4,066.44/6,098.06 = 1,433.80/x
  3. Step 3: Cross multiply
    4,066.44x = 6,098.06 × 1,433.80
  4. Step 4: Simplify right side
    4,066.44x = 8,743,398.43
  5. Step 5: Solve for x
    x = 8,743,398.43/4,066.44
  6. Step 6: Final answer
    x = 2,150.14

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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.