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Finding the Fourth Proportional to 6,400.66, 9,598.56 and 2,504.56

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Solution

The fourth proportional to 6,400.66, 9,598.56 and 2,504.56 is: 3,755.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.66 : 9,598.56 = 2,504.56 : x
  2. Step 2: Convert to fraction form
    6,400.66/9,598.56 = 2,504.56/x
  3. Step 3: Cross multiply
    6,400.66x = 9,598.56 × 2,504.56
  4. Step 4: Simplify right side
    6,400.66x = 24,040,169.43
  5. Step 5: Solve for x
    x = 24,040,169.43/6,400.66
  6. Step 6: Final answer
    x = 3,755.89

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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.