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Finding the Fourth Proportional to 3,753.90, 5,181.84 and 3,360.24

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Solution

The fourth proportional to 3,753.90, 5,181.84 and 3,360.24 is: 4,638.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.90 : 5,181.84 = 3,360.24 : x
  2. Step 2: Convert to fraction form
    3,753.90/5,181.84 = 3,360.24/x
  3. Step 3: Cross multiply
    3,753.90x = 5,181.84 × 3,360.24
  4. Step 4: Simplify right side
    3,753.90x = 17,412,226.04
  5. Step 5: Solve for x
    x = 17,412,226.04/3,753.90
  6. Step 6: Final answer
    x = 4,638.44

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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.