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Finding the Fourth Proportional to 3,778.89, 5,665.31 and 1,903.77

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Solution

The fourth proportional to 3,778.89, 5,665.31 and 1,903.77 is: 2,854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.89 : 5,665.31 = 1,903.77 : x
  2. Step 2: Convert to fraction form
    3,778.89/5,665.31 = 1,903.77/x
  3. Step 3: Cross multiply
    3,778.89x = 5,665.31 × 1,903.77
  4. Step 4: Simplify right side
    3,778.89x = 10,785,409.37
  5. Step 5: Solve for x
    x = 10,785,409.37/3,778.89
  6. Step 6: Final answer
    x = 2,854.12

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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.