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Finding the Fourth Proportional to 3,669.64, 5,504.44 and 1,037.19

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Solution

The fourth proportional to 3,669.64, 5,504.44 and 1,037.19 is: 1,555.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.64 : 5,504.44 = 1,037.19 : x
  2. Step 2: Convert to fraction form
    3,669.64/5,504.44 = 1,037.19/x
  3. Step 3: Cross multiply
    3,669.64x = 5,504.44 × 1,037.19
  4. Step 4: Simplify right side
    3,669.64x = 5,709,150.12
  5. Step 5: Solve for x
    x = 5,709,150.12/3,669.64
  6. Step 6: Final answer
    x = 1,555.78

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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.