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Finding the Fourth Proportional to 5,471.72, 7,549.98 and 3,233.96

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Solution

The fourth proportional to 5,471.72, 7,549.98 and 3,233.96 is: 4,462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.72 : 7,549.98 = 3,233.96 : x
  2. Step 2: Convert to fraction form
    5,471.72/7,549.98 = 3,233.96/x
  3. Step 3: Cross multiply
    5,471.72x = 7,549.98 × 3,233.96
  4. Step 4: Simplify right side
    5,471.72x = 24,416,333.32
  5. Step 5: Solve for x
    x = 24,416,333.32/5,471.72
  6. Step 6: Final answer
    x = 4,462.28

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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.