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Finding the Fourth Proportional to 5,181.06, 7,149.86 and 2,823.20

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Solution

The fourth proportional to 5,181.06, 7,149.86 and 2,823.20 is: 3,896.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.06 : 7,149.86 = 2,823.20 : x
  2. Step 2: Convert to fraction form
    5,181.06/7,149.86 = 2,823.20/x
  3. Step 3: Cross multiply
    5,181.06x = 7,149.86 × 2,823.20
  4. Step 4: Simplify right side
    5,181.06x = 20,185,484.75
  5. Step 5: Solve for x
    x = 20,185,484.75/5,181.06
  6. Step 6: Final answer
    x = 3,896.01

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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.