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Finding the Fourth Proportional to 5,705.03, 7,871.99 and 3,187.05

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Solution

The fourth proportional to 5,705.03, 7,871.99 and 3,187.05 is: 4,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.03 : 7,871.99 = 3,187.05 : x
  2. Step 2: Convert to fraction form
    5,705.03/7,871.99 = 3,187.05/x
  3. Step 3: Cross multiply
    5,705.03x = 7,871.99 × 3,187.05
  4. Step 4: Simplify right side
    5,705.03x = 25,088,380.27
  5. Step 5: Solve for x
    x = 25,088,380.27/5,705.03
  6. Step 6: Final answer
    x = 4,397.59

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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.