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Finding the Fourth Proportional to 3,647.64, 5,033.68 and 2,032.54

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Solution

The fourth proportional to 3,647.64, 5,033.68 and 2,032.54 is: 2,804.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.64 : 5,033.68 = 2,032.54 : x
  2. Step 2: Convert to fraction form
    3,647.64/5,033.68 = 2,032.54/x
  3. Step 3: Cross multiply
    3,647.64x = 5,033.68 × 2,032.54
  4. Step 4: Simplify right side
    3,647.64x = 10,231,155.95
  5. Step 5: Solve for x
    x = 10,231,155.95/3,647.64
  6. Step 6: Final answer
    x = 2,804.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.