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Finding the Fourth Proportional to 3,788.50, 5,680.68 and 2,035.59

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Solution

The fourth proportional to 3,788.50, 5,680.68 and 2,035.59 is: 3,052.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.50 : 5,680.68 = 2,035.59 : x
  2. Step 2: Convert to fraction form
    3,788.50/5,680.68 = 2,035.59/x
  3. Step 3: Cross multiply
    3,788.50x = 5,680.68 × 2,035.59
  4. Step 4: Simplify right side
    3,788.50x = 11,563,507.00
  5. Step 5: Solve for x
    x = 11,563,507.00/3,788.50
  6. Step 6: Final answer
    x = 3,052.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.