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Finding the Fourth Proportional to 3,905.44, 5,837.21 and 3,407.92

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Solution

The fourth proportional to 3,905.44, 5,837.21 and 3,407.92 is: 5,093.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.44 : 5,837.21 = 3,407.92 : x
  2. Step 2: Convert to fraction form
    3,905.44/5,837.21 = 3,407.92/x
  3. Step 3: Cross multiply
    3,905.44x = 5,837.21 × 3,407.92
  4. Step 4: Simplify right side
    3,905.44x = 19,892,744.70
  5. Step 5: Solve for x
    x = 19,892,744.70/3,905.44
  6. Step 6: Final answer
    x = 5,093.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.