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Finding the Fourth Proportional to 5,452.19, 8,181.23 and 4,222

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Solution

The fourth proportional to 5,452.19, 8,181.23 and 4,222 is: 6,335.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.19 : 8,181.23 = 4,222 : x
  2. Step 2: Convert to fraction form
    5,452.19/8,181.23 = 4,222/x
  3. Step 3: Cross multiply
    5,452.19x = 8,181.23 × 4,222
  4. Step 4: Simplify right side
    5,452.19x = 34,541,153.06
  5. Step 5: Solve for x
    x = 34,541,153.06/5,452.19
  6. Step 6: Final answer
    x = 6,335.28

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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.