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Finding the Fourth Proportional to 5,691.83, 8,533.59 and 3,838.34

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Solution

The fourth proportional to 5,691.83, 8,533.59 and 3,838.34 is: 5,754.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.83 : 8,533.59 = 3,838.34 : x
  2. Step 2: Convert to fraction form
    5,691.83/8,533.59 = 3,838.34/x
  3. Step 3: Cross multiply
    5,691.83x = 8,533.59 × 3,838.34
  4. Step 4: Simplify right side
    5,691.83x = 32,754,777.17
  5. Step 5: Solve for x
    x = 32,754,777.17/5,691.83
  6. Step 6: Final answer
    x = 5,754.71

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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.