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Finding the Fourth Proportional to 5,597.21, 7,723.98 and 3,079.31

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Solution

The fourth proportional to 5,597.21, 7,723.98 and 3,079.31 is: 4,249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.21 : 7,723.98 = 3,079.31 : x
  2. Step 2: Convert to fraction form
    5,597.21/7,723.98 = 3,079.31/x
  3. Step 3: Cross multiply
    5,597.21x = 7,723.98 × 3,079.31
  4. Step 4: Simplify right side
    5,597.21x = 23,784,513.46
  5. Step 5: Solve for x
    x = 23,784,513.46/5,597.21
  6. Step 6: Final answer
    x = 4,249.36

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Why These Related Problems?

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