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Finding the Fourth Proportional to 5,771.90, 8,659.28 and 2,309.06

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Solution

The fourth proportional to 5,771.90, 8,659.28 and 2,309.06 is: 3,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.90 : 8,659.28 = 2,309.06 : x
  2. Step 2: Convert to fraction form
    5,771.90/8,659.28 = 2,309.06/x
  3. Step 3: Cross multiply
    5,771.90x = 8,659.28 × 2,309.06
  4. Step 4: Simplify right side
    5,771.90x = 19,994,759.55
  5. Step 5: Solve for x
    x = 19,994,759.55/5,771.90
  6. Step 6: Final answer
    x = 3,464.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.