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Finding the Fourth Proportional to 5,142.68, 7,099.64 and 3,961.16

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Solution

The fourth proportional to 5,142.68, 7,099.64 and 3,961.16 is: 5,468.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.68 : 7,099.64 = 3,961.16 : x
  2. Step 2: Convert to fraction form
    5,142.68/7,099.64 = 3,961.16/x
  3. Step 3: Cross multiply
    5,142.68x = 7,099.64 × 3,961.16
  4. Step 4: Simplify right side
    5,142.68x = 28,122,809.98
  5. Step 5: Solve for x
    x = 28,122,809.98/5,142.68
  6. Step 6: Final answer
    x = 5,468.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.