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Finding the Fourth Proportional to 6,057.59, 9,086.58 and 2,771.82

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Solution

The fourth proportional to 6,057.59, 9,086.58 and 2,771.82 is: 4,157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.59 : 9,086.58 = 2,771.82 : x
  2. Step 2: Convert to fraction form
    6,057.59/9,086.58 = 2,771.82/x
  3. Step 3: Cross multiply
    6,057.59x = 9,086.58 × 2,771.82
  4. Step 4: Simplify right side
    6,057.59x = 25,186,364.18
  5. Step 5: Solve for x
    x = 25,186,364.18/6,057.59
  6. Step 6: Final answer
    x = 4,157.82

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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.