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Finding the Fourth Proportional to 5,588.73, 7,708.91 and 3,434.33

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Solution

The fourth proportional to 5,588.73, 7,708.91 and 3,434.33 is: 4,737.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588.73 : 7,708.91 = 3,434.33 : x
  2. Step 2: Convert to fraction form
    5,588.73/7,708.91 = 3,434.33/x
  3. Step 3: Cross multiply
    5,588.73x = 7,708.91 × 3,434.33
  4. Step 4: Simplify right side
    5,588.73x = 26,474,942.98
  5. Step 5: Solve for x
    x = 26,474,942.98/5,588.73
  6. Step 6: Final answer
    x = 4,737.20

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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.