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Finding the Fourth Proportional to 5,686.49, 7,847.12 and 3,449.27

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Solution

The fourth proportional to 5,686.49, 7,847.12 and 3,449.27 is: 4,759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.49 : 7,847.12 = 3,449.27 : x
  2. Step 2: Convert to fraction form
    5,686.49/7,847.12 = 3,449.27/x
  3. Step 3: Cross multiply
    5,686.49x = 7,847.12 × 3,449.27
  4. Step 4: Simplify right side
    5,686.49x = 27,066,779.12
  5. Step 5: Solve for x
    x = 27,066,779.12/5,686.49
  6. Step 6: Final answer
    x = 4,759.84

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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.