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Finding the Fourth Proportional to 3,405.48, 5,103.36 and 1,941

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Solution

The fourth proportional to 3,405.48, 5,103.36 and 1,941 is: 2,908.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.48 : 5,103.36 = 1,941 : x
  2. Step 2: Convert to fraction form
    3,405.48/5,103.36 = 1,941/x
  3. Step 3: Cross multiply
    3,405.48x = 5,103.36 × 1,941
  4. Step 4: Simplify right side
    3,405.48x = 9,905,621.76
  5. Step 5: Solve for x
    x = 9,905,621.76/3,405.48
  6. Step 6: Final answer
    x = 2,908.73

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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.