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Finding the Fourth Proportional to 6,057.76, 9,086.88 and 2,592.64

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Solution

The fourth proportional to 6,057.76, 9,086.88 and 2,592.64 is: 3,889.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.76 : 9,086.88 = 2,592.64 : x
  2. Step 2: Convert to fraction form
    6,057.76/9,086.88 = 2,592.64/x
  3. Step 3: Cross multiply
    6,057.76x = 9,086.88 × 2,592.64
  4. Step 4: Simplify right side
    6,057.76x = 23,559,008.56
  5. Step 5: Solve for x
    x = 23,559,008.56/6,057.76
  6. Step 6: Final answer
    x = 3,889.06

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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.