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Finding the Fourth Proportional to 3,888.72, 5,827.32 and 3,200.22

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Solution

The fourth proportional to 3,888.72, 5,827.32 and 3,200.22 is: 4,795.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.72 : 5,827.32 = 3,200.22 : x
  2. Step 2: Convert to fraction form
    3,888.72/5,827.32 = 3,200.22/x
  3. Step 3: Cross multiply
    3,888.72x = 5,827.32 × 3,200.22
  4. Step 4: Simplify right side
    3,888.72x = 18,648,706.01
  5. Step 5: Solve for x
    x = 18,648,706.01/3,888.72
  6. Step 6: Final answer
    x = 4,795.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.