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Finding the Fourth Proportional to 5,705.25, 7,873.42 and 3,187.47

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Solution

The fourth proportional to 5,705.25, 7,873.42 and 3,187.47 is: 4,398.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.25 : 7,873.42 = 3,187.47 : x
  2. Step 2: Convert to fraction form
    5,705.25/7,873.42 = 3,187.47/x
  3. Step 3: Cross multiply
    5,705.25x = 7,873.42 × 3,187.47
  4. Step 4: Simplify right side
    5,705.25x = 25,096,282.08
  5. Step 5: Solve for x
    x = 25,096,282.08/5,705.25
  6. Step 6: Final answer
    x = 4,398.80

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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.