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Finding the Fourth Proportional to 3,635.02, 5,452.53 and 1,037.98

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Solution

The fourth proportional to 3,635.02, 5,452.53 and 1,037.98 is: 1,556.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.02 : 5,452.53 = 1,037.98 : x
  2. Step 2: Convert to fraction form
    3,635.02/5,452.53 = 1,037.98/x
  3. Step 3: Cross multiply
    3,635.02x = 5,452.53 × 1,037.98
  4. Step 4: Simplify right side
    3,635.02x = 5,659,617.09
  5. Step 5: Solve for x
    x = 5,659,617.09/3,635.02
  6. Step 6: Final answer
    x = 1,556.97

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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.