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Finding the Fourth Proportional to 5,588.91, 7,712.25 and 3,231.20

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Solution

The fourth proportional to 5,588.91, 7,712.25 and 3,231.20 is: 4,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588.91 : 7,712.25 = 3,231.20 : x
  2. Step 2: Convert to fraction form
    5,588.91/7,712.25 = 3,231.20/x
  3. Step 3: Cross multiply
    5,588.91x = 7,712.25 × 3,231.20
  4. Step 4: Simplify right side
    5,588.91x = 24,919,829.36
  5. Step 5: Solve for x
    x = 24,919,829.36/5,588.91
  6. Step 6: Final answer
    x = 4,458.80

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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.