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Finding the Fourth Proportional to 5,588.25, 7,711.36 and 3,230.34

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Solution

The fourth proportional to 5,588.25, 7,711.36 and 3,230.34 is: 4,457.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588.25 : 7,711.36 = 3,230.34 : x
  2. Step 2: Convert to fraction form
    5,588.25/7,711.36 = 3,230.34/x
  3. Step 3: Cross multiply
    5,588.25x = 7,711.36 × 3,230.34
  4. Step 4: Simplify right side
    5,588.25x = 24,910,314.66
  5. Step 5: Solve for x
    x = 24,910,314.66/5,588.25
  6. Step 6: Final answer
    x = 4,457.62

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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.