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Finding the Fourth Proportional to 5,181.84, 7,155.16 and 4,224.90

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Solution

The fourth proportional to 5,181.84, 7,155.16 and 4,224.90 is: 5,833.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.84 : 7,155.16 = 4,224.90 : x
  2. Step 2: Convert to fraction form
    5,181.84/7,155.16 = 4,224.90/x
  3. Step 3: Cross multiply
    5,181.84x = 7,155.16 × 4,224.90
  4. Step 4: Simplify right side
    5,181.84x = 30,229,851.75
  5. Step 5: Solve for x
    x = 30,229,851.75/5,181.84
  6. Step 6: Final answer
    x = 5,833.81

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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.