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Finding the Fourth Proportional to 5,181.12, 7,149.68 and 2,823.20

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Solution

The fourth proportional to 5,181.12, 7,149.68 and 2,823.20 is: 3,895.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.12 : 7,149.68 = 2,823.20 : x
  2. Step 2: Convert to fraction form
    5,181.12/7,149.68 = 2,823.20/x
  3. Step 3: Cross multiply
    5,181.12x = 7,149.68 × 2,823.20
  4. Step 4: Simplify right side
    5,181.12x = 20,184,976.58
  5. Step 5: Solve for x
    x = 20,184,976.58/5,181.12
  6. Step 6: Final answer
    x = 3,895.87

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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.