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Finding the Fourth Proportional to 5,705.45, 7,873.67 and 3,187.46

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Solution

The fourth proportional to 5,705.45, 7,873.67 and 3,187.46 is: 4,398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.45 : 7,873.67 = 3,187.46 : x
  2. Step 2: Convert to fraction form
    5,705.45/7,873.67 = 3,187.46/x
  3. Step 3: Cross multiply
    5,705.45x = 7,873.67 × 3,187.46
  4. Step 4: Simplify right side
    5,705.45x = 25,097,008.18
  5. Step 5: Solve for x
    x = 25,097,008.18/5,705.45
  6. Step 6: Final answer
    x = 4,398.78

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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.