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Finding the Fourth Proportional to 6,440.48, 9,659.91 and 2,057.57

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Solution

The fourth proportional to 6,440.48, 9,659.91 and 2,057.57 is: 3,086.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.48 : 9,659.91 = 2,057.57 : x
  2. Step 2: Convert to fraction form
    6,440.48/9,659.91 = 2,057.57/x
  3. Step 3: Cross multiply
    6,440.48x = 9,659.91 × 2,057.57
  4. Step 4: Simplify right side
    6,440.48x = 19,875,941.02
  5. Step 5: Solve for x
    x = 19,875,941.02/6,440.48
  6. Step 6: Final answer
    x = 3,086.10

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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.