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Finding the Fourth Proportional to 3,730.02, 5,593.64 and 1,096.82

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Solution

The fourth proportional to 3,730.02, 5,593.64 and 1,096.82 is: 1,644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.02 : 5,593.64 = 1,096.82 : x
  2. Step 2: Convert to fraction form
    3,730.02/5,593.64 = 1,096.82/x
  3. Step 3: Cross multiply
    3,730.02x = 5,593.64 × 1,096.82
  4. Step 4: Simplify right side
    3,730.02x = 6,135,216.22
  5. Step 5: Solve for x
    x = 6,135,216.22/3,730.02
  6. Step 6: Final answer
    x = 1,644.82

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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.