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Finding the Fourth Proportional to 3,597.68, 5,388.12 and 2,769.38

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Solution

The fourth proportional to 3,597.68, 5,388.12 and 2,769.38 is: 4,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.68 : 5,388.12 = 2,769.38 : x
  2. Step 2: Convert to fraction form
    3,597.68/5,388.12 = 2,769.38/x
  3. Step 3: Cross multiply
    3,597.68x = 5,388.12 × 2,769.38
  4. Step 4: Simplify right side
    3,597.68x = 14,921,751.77
  5. Step 5: Solve for x
    x = 14,921,751.77/3,597.68
  6. Step 6: Final answer
    x = 4,147.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.