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Finding the Fourth Proportional to 5,738.96, 7,919.60 and 3,349.46

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Solution

The fourth proportional to 5,738.96, 7,919.60 and 3,349.46 is: 4,622.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.96 : 7,919.60 = 3,349.46 : x
  2. Step 2: Convert to fraction form
    5,738.96/7,919.60 = 3,349.46/x
  3. Step 3: Cross multiply
    5,738.96x = 7,919.60 × 3,349.46
  4. Step 4: Simplify right side
    5,738.96x = 26,526,383.42
  5. Step 5: Solve for x
    x = 26,526,383.42/5,738.96
  6. Step 6: Final answer
    x = 4,622.16

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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.