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Finding the Fourth Proportional to 5,506.97, 7,601.64 and 4,022.51

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Solution

The fourth proportional to 5,506.97, 7,601.64 and 4,022.51 is: 5,552.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.97 : 7,601.64 = 4,022.51 : x
  2. Step 2: Convert to fraction form
    5,506.97/7,601.64 = 4,022.51/x
  3. Step 3: Cross multiply
    5,506.97x = 7,601.64 × 4,022.51
  4. Step 4: Simplify right side
    5,506.97x = 30,577,672.92
  5. Step 5: Solve for x
    x = 30,577,672.92/5,506.97
  6. Step 6: Final answer
    x = 5,552.54

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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.