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Finding the Fourth Proportional to 6,598.41, 9,105.83 and 3,614.26

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Solution

The fourth proportional to 6,598.41, 9,105.83 and 3,614.26 is: 4,987.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.41 : 9,105.83 = 3,614.26 : x
  2. Step 2: Convert to fraction form
    6,598.41/9,105.83 = 3,614.26/x
  3. Step 3: Cross multiply
    6,598.41x = 9,105.83 × 3,614.26
  4. Step 4: Simplify right side
    6,598.41x = 32,910,837.14
  5. Step 5: Solve for x
    x = 32,910,837.14/6,598.41
  6. Step 6: Final answer
    x = 4,987.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.