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Finding the Fourth Proportional to 3,850.13, 5,772.86 and 1,507.34

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Solution

The fourth proportional to 3,850.13, 5,772.86 and 1,507.34 is: 2,260.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.13 : 5,772.86 = 1,507.34 : x
  2. Step 2: Convert to fraction form
    3,850.13/5,772.86 = 1,507.34/x
  3. Step 3: Cross multiply
    3,850.13x = 5,772.86 × 1,507.34
  4. Step 4: Simplify right side
    3,850.13x = 8,701,626.39
  5. Step 5: Solve for x
    x = 8,701,626.39/3,850.13
  6. Step 6: Final answer
    x = 2,260.09

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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.