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Finding the Fourth Proportional to 5,943.32, 8,201.87 and 3,290.73

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Solution

The fourth proportional to 5,943.32, 8,201.87 and 3,290.73 is: 4,541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.32 : 8,201.87 = 3,290.73 : x
  2. Step 2: Convert to fraction form
    5,943.32/8,201.87 = 3,290.73/x
  3. Step 3: Cross multiply
    5,943.32x = 8,201.87 × 3,290.73
  4. Step 4: Simplify right side
    5,943.32x = 26,990,123.31
  5. Step 5: Solve for x
    x = 26,990,123.31/5,943.32
  6. Step 6: Final answer
    x = 4,541.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.