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Finding the Fourth Proportional to 5,597.86, 7,725.24 and 3,208.21

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Solution

The fourth proportional to 5,597.86, 7,725.24 and 3,208.21 is: 4,427.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.86 : 7,725.24 = 3,208.21 : x
  2. Step 2: Convert to fraction form
    5,597.86/7,725.24 = 3,208.21/x
  3. Step 3: Cross multiply
    5,597.86x = 7,725.24 × 3,208.21
  4. Step 4: Simplify right side
    5,597.86x = 24,784,192.22
  5. Step 5: Solve for x
    x = 24,784,192.22/5,597.86
  6. Step 6: Final answer
    x = 4,427.44

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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.