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Finding the Fourth Proportional to 3,695.37, 5,543.73 and 2,232.78

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Solution

The fourth proportional to 3,695.37, 5,543.73 and 2,232.78 is: 3,349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.37 : 5,543.73 = 2,232.78 : x
  2. Step 2: Convert to fraction form
    3,695.37/5,543.73 = 2,232.78/x
  3. Step 3: Cross multiply
    3,695.37x = 5,543.73 × 2,232.78
  4. Step 4: Simplify right side
    3,695.37x = 12,377,929.47
  5. Step 5: Solve for x
    x = 12,377,929.47/3,695.37
  6. Step 6: Final answer
    x = 3,349.58

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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.