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Finding the Fourth Proportional to 5,679.13, 7,837.32 and 3,322.63

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Solution

The fourth proportional to 5,679.13, 7,837.32 and 3,322.63 is: 4,585.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.13 : 7,837.32 = 3,322.63 : x
  2. Step 2: Convert to fraction form
    5,679.13/7,837.32 = 3,322.63/x
  3. Step 3: Cross multiply
    5,679.13x = 7,837.32 × 3,322.63
  4. Step 4: Simplify right side
    5,679.13x = 26,040,514.55
  5. Step 5: Solve for x
    x = 26,040,514.55/5,679.13
  6. Step 6: Final answer
    x = 4,585.30

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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.