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Finding the Fourth Proportional to 3,864.39, 5,796.60 and 942.67

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Solution

The fourth proportional to 3,864.39, 5,796.60 and 942.67 is: 1,414.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.39 : 5,796.60 = 942.67 : x
  2. Step 2: Convert to fraction form
    3,864.39/5,796.60 = 942.67/x
  3. Step 3: Cross multiply
    3,864.39x = 5,796.60 × 942.67
  4. Step 4: Simplify right side
    3,864.39x = 5,464,280.92
  5. Step 5: Solve for x
    x = 5,464,280.92/3,864.39
  6. Step 6: Final answer
    x = 1,414.01

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Why These Related Problems?

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