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Finding the Fourth Proportional to 5,712.12, 8,570.89 and 2,016.09

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Solution

The fourth proportional to 5,712.12, 8,570.89 and 2,016.09 is: 3,025.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.12 : 8,570.89 = 2,016.09 : x
  2. Step 2: Convert to fraction form
    5,712.12/8,570.89 = 2,016.09/x
  3. Step 3: Cross multiply
    5,712.12x = 8,570.89 × 2,016.09
  4. Step 4: Simplify right side
    5,712.12x = 17,279,682.47
  5. Step 5: Solve for x
    x = 17,279,682.47/5,712.12
  6. Step 6: Final answer
    x = 3,025.09

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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.