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Finding the Fourth Proportional to 4,290.72, 5,915.22 and 4,197.54

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Solution

The fourth proportional to 4,290.72, 5,915.22 and 4,197.54 is: 5,786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.72 : 5,915.22 = 4,197.54 : x
  2. Step 2: Convert to fraction form
    4,290.72/5,915.22 = 4,197.54/x
  3. Step 3: Cross multiply
    4,290.72x = 5,915.22 × 4,197.54
  4. Step 4: Simplify right side
    4,290.72x = 24,829,372.56
  5. Step 5: Solve for x
    x = 24,829,372.56/4,290.72
  6. Step 6: Final answer
    x = 5,786.76

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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.