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Finding the Fourth Proportional to 5,705.44, 7,873.24 and 3,187.40

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Solution

The fourth proportional to 5,705.44, 7,873.24 and 3,187.40 is: 4,398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.44 : 7,873.24 = 3,187.40 : x
  2. Step 2: Convert to fraction form
    5,705.44/7,873.24 = 3,187.40/x
  3. Step 3: Cross multiply
    5,705.44x = 7,873.24 × 3,187.40
  4. Step 4: Simplify right side
    5,705.44x = 25,095,165.18
  5. Step 5: Solve for x
    x = 25,095,165.18/5,705.44
  6. Step 6: Final answer
    x = 4,398.46

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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.