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Finding the Fourth Proportional to 3,086.13, 4,627.17 and 1,442.64

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Solution

The fourth proportional to 3,086.13, 4,627.17 and 1,442.64 is: 2,163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.13 : 4,627.17 = 1,442.64 : x
  2. Step 2: Convert to fraction form
    3,086.13/4,627.17 = 1,442.64/x
  3. Step 3: Cross multiply
    3,086.13x = 4,627.17 × 1,442.64
  4. Step 4: Simplify right side
    3,086.13x = 6,675,340.53
  5. Step 5: Solve for x
    x = 6,675,340.53/3,086.13
  6. Step 6: Final answer
    x = 2,163.01

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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.