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Finding the Fourth Proportional to 5,471.34, 7,550.53 and 3,233.20

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Solution

The fourth proportional to 5,471.34, 7,550.53 and 3,233.20 is: 4,461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.34 : 7,550.53 = 3,233.20 : x
  2. Step 2: Convert to fraction form
    5,471.34/7,550.53 = 3,233.20/x
  3. Step 3: Cross multiply
    5,471.34x = 7,550.53 × 3,233.20
  4. Step 4: Simplify right side
    5,471.34x = 24,412,373.60
  5. Step 5: Solve for x
    x = 24,412,373.60/5,471.34
  6. Step 6: Final answer
    x = 4,461.86

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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.