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Finding the Fourth Proportional to 5,753.96, 7,940.54 and 3,396.10

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Solution

The fourth proportional to 5,753.96, 7,940.54 and 3,396.10 is: 4,686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.96 : 7,940.54 = 3,396.10 : x
  2. Step 2: Convert to fraction form
    5,753.96/7,940.54 = 3,396.10/x
  3. Step 3: Cross multiply
    5,753.96x = 7,940.54 × 3,396.10
  4. Step 4: Simplify right side
    5,753.96x = 26,966,856.53
  5. Step 5: Solve for x
    x = 26,966,856.53/5,753.96
  6. Step 6: Final answer
    x = 4,686.66

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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.