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Finding the Fourth Proportional to 3,775.31, 5,694.40 and 3,318.77

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Solution

The fourth proportional to 3,775.31, 5,694.40 and 3,318.77 is: 5,005.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.31 : 5,694.40 = 3,318.77 : x
  2. Step 2: Convert to fraction form
    3,775.31/5,694.40 = 3,318.77/x
  3. Step 3: Cross multiply
    3,775.31x = 5,694.40 × 3,318.77
  4. Step 4: Simplify right side
    3,775.31x = 18,898,422.27
  5. Step 5: Solve for x
    x = 18,898,422.27/3,775.31
  6. Step 6: Final answer
    x = 5,005.80

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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.