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Finding the Fourth Proportional to 5,114.94, 7,659.45 and 3,161.22

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Solution

The fourth proportional to 5,114.94, 7,659.45 and 3,161.22 is: 4,733.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.94 : 7,659.45 = 3,161.22 : x
  2. Step 2: Convert to fraction form
    5,114.94/7,659.45 = 3,161.22/x
  3. Step 3: Cross multiply
    5,114.94x = 7,659.45 × 3,161.22
  4. Step 4: Simplify right side
    5,114.94x = 24,213,206.53
  5. Step 5: Solve for x
    x = 24,213,206.53/5,114.94
  6. Step 6: Final answer
    x = 4,733.82

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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.