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Finding the Fourth Proportional to 5,705.22, 7,872.69 and 3,187.11

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Solution

The fourth proportional to 5,705.22, 7,872.69 and 3,187.11 is: 4,397.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.22 : 7,872.69 = 3,187.11 : x
  2. Step 2: Convert to fraction form
    5,705.22/7,872.69 = 3,187.11/x
  3. Step 3: Cross multiply
    5,705.22x = 7,872.69 × 3,187.11
  4. Step 4: Simplify right side
    5,705.22x = 25,091,129.03
  5. Step 5: Solve for x
    x = 25,091,129.03/5,705.22
  6. Step 6: Final answer
    x = 4,397.92

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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.