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Finding the Fourth Proportional to 5,588.54, 7,712.17 and 3,230.67

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Solution

The fourth proportional to 5,588.54, 7,712.17 and 3,230.67 is: 4,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588.54 : 7,712.17 = 3,230.67 : x
  2. Step 2: Convert to fraction form
    5,588.54/7,712.17 = 3,230.67/x
  3. Step 3: Cross multiply
    5,588.54x = 7,712.17 × 3,230.67
  4. Step 4: Simplify right side
    5,588.54x = 24,915,476.25
  5. Step 5: Solve for x
    x = 24,915,476.25/5,588.54
  6. Step 6: Final answer
    x = 4,458.32

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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.