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Finding the Fourth Proportional to 5,342.88, 8,014.32 and 2,057.52

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Solution

The fourth proportional to 5,342.88, 8,014.32 and 2,057.52 is: 3,086.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.88 : 8,014.32 = 2,057.52 : x
  2. Step 2: Convert to fraction form
    5,342.88/8,014.32 = 2,057.52/x
  3. Step 3: Cross multiply
    5,342.88x = 8,014.32 × 2,057.52
  4. Step 4: Simplify right side
    5,342.88x = 16,489,623.69
  5. Step 5: Solve for x
    x = 16,489,623.69/5,342.88
  6. Step 6: Final answer
    x = 3,086.28

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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.