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Finding the Fourth Proportional to 5,530.94, 7,629.72 and 3,640.55

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Solution

The fourth proportional to 5,530.94, 7,629.72 and 3,640.55 is: 5,022.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.94 : 7,629.72 = 3,640.55 : x
  2. Step 2: Convert to fraction form
    5,530.94/7,629.72 = 3,640.55/x
  3. Step 3: Cross multiply
    5,530.94x = 7,629.72 × 3,640.55
  4. Step 4: Simplify right side
    5,530.94x = 27,776,377.15
  5. Step 5: Solve for x
    x = 27,776,377.15/5,530.94
  6. Step 6: Final answer
    x = 5,022.00

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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.