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Finding the Fourth Proportional to 5,705.00, 7,872.83 and 3,187.35

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Solution

The fourth proportional to 5,705.00, 7,872.83 and 3,187.35 is: 4,398.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.00 : 7,872.83 = 3,187.35 : x
  2. Step 2: Convert to fraction form
    5,705.00/7,872.83 = 3,187.35/x
  3. Step 3: Cross multiply
    5,705.00x = 7,872.83 × 3,187.35
  4. Step 4: Simplify right side
    5,705.00x = 25,093,448.76
  5. Step 5: Solve for x
    x = 25,093,448.76/5,705.00
  6. Step 6: Final answer
    x = 4,398.50

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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.