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Finding the Fourth Proportional to 5,677.72, 7,832.32 and 3,318.50

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Solution

The fourth proportional to 5,677.72, 7,832.32 and 3,318.50 is: 4,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.72 : 7,832.32 = 3,318.50 : x
  2. Step 2: Convert to fraction form
    5,677.72/7,832.32 = 3,318.50/x
  3. Step 3: Cross multiply
    5,677.72x = 7,832.32 × 3,318.50
  4. Step 4: Simplify right side
    5,677.72x = 25,991,506.46
  5. Step 5: Solve for x
    x = 25,991,506.46/5,677.72
  6. Step 6: Final answer
    x = 4,577.81

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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.