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Finding the Fourth Proportional to 5,602.01, 7,729.89 and 3,243.69

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Solution

The fourth proportional to 5,602.01, 7,729.89 and 3,243.69 is: 4,475.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.01 : 7,729.89 = 3,243.69 : x
  2. Step 2: Convert to fraction form
    5,602.01/7,729.89 = 3,243.69/x
  3. Step 3: Cross multiply
    5,602.01x = 7,729.89 × 3,243.69
  4. Step 4: Simplify right side
    5,602.01x = 25,073,366.89
  5. Step 5: Solve for x
    x = 25,073,366.89/5,602.01
  6. Step 6: Final answer
    x = 4,475.78

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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.