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Finding the Fourth Proportional to 3,691.62, 5,533.38 and 2,047.59

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Solution

The fourth proportional to 3,691.62, 5,533.38 and 2,047.59 is: 3,069.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.62 : 5,533.38 = 2,047.59 : x
  2. Step 2: Convert to fraction form
    3,691.62/5,533.38 = 2,047.59/x
  3. Step 3: Cross multiply
    3,691.62x = 5,533.38 × 2,047.59
  4. Step 4: Simplify right side
    3,691.62x = 11,330,093.55
  5. Step 5: Solve for x
    x = 11,330,093.55/3,691.62
  6. Step 6: Final answer
    x = 3,069.14

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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.