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Finding the Fourth Proportional to 5,659.12, 7,808.16 and 3,796.12

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Solution

The fourth proportional to 5,659.12, 7,808.16 and 3,796.12 is: 5,237.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.12 : 7,808.16 = 3,796.12 : x
  2. Step 2: Convert to fraction form
    5,659.12/7,808.16 = 3,796.12/x
  3. Step 3: Cross multiply
    5,659.12x = 7,808.16 × 3,796.12
  4. Step 4: Simplify right side
    5,659.12x = 29,640,712.34
  5. Step 5: Solve for x
    x = 29,640,712.34/5,659.12
  6. Step 6: Final answer
    x = 5,237.69

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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.