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Finding the Fourth Proportional to 6,440.68, 9,662.52 and 2,057.80

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Solution

The fourth proportional to 6,440.68, 9,662.52 and 2,057.80 is: 3,087.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.68 : 9,662.52 = 2,057.80 : x
  2. Step 2: Convert to fraction form
    6,440.68/9,662.52 = 2,057.80/x
  3. Step 3: Cross multiply
    6,440.68x = 9,662.52 × 2,057.80
  4. Step 4: Simplify right side
    6,440.68x = 19,883,533.66
  5. Step 5: Solve for x
    x = 19,883,533.66/6,440.68
  6. Step 6: Final answer
    x = 3,087.18

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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.