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Finding the Fourth Proportional to 3,767.31, 5,650.56 and 993.87

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Solution

The fourth proportional to 3,767.31, 5,650.56 and 993.87 is: 1,490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.31 : 5,650.56 = 993.87 : x
  2. Step 2: Convert to fraction form
    3,767.31/5,650.56 = 993.87/x
  3. Step 3: Cross multiply
    3,767.31x = 5,650.56 × 993.87
  4. Step 4: Simplify right side
    3,767.31x = 5,615,922.07
  5. Step 5: Solve for x
    x = 5,615,922.07/3,767.31
  6. Step 6: Final answer
    x = 1,490.70

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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.