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Finding the Fourth Proportional to 4,753.68, 7,162.98 and 3,906.96

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Solution

The fourth proportional to 4,753.68, 7,162.98 and 3,906.96 is: 5,887.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.68 : 7,162.98 = 3,906.96 : x
  2. Step 2: Convert to fraction form
    4,753.68/7,162.98 = 3,906.96/x
  3. Step 3: Cross multiply
    4,753.68x = 7,162.98 × 3,906.96
  4. Step 4: Simplify right side
    4,753.68x = 27,985,476.34
  5. Step 5: Solve for x
    x = 27,985,476.34/4,753.68
  6. Step 6: Final answer
    x = 5,887.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.