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Finding the Fourth Proportional to 3,864.40, 5,796.06 and 1,267

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Solution

The fourth proportional to 3,864.40, 5,796.06 and 1,267 is: 1,900.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.40 : 5,796.06 = 1,267 : x
  2. Step 2: Convert to fraction form
    3,864.40/5,796.06 = 1,267/x
  3. Step 3: Cross multiply
    3,864.40x = 5,796.06 × 1,267
  4. Step 4: Simplify right side
    3,864.40x = 7,343,608.02
  5. Step 5: Solve for x
    x = 7,343,608.02/3,864.40
  6. Step 6: Final answer
    x = 1,900.32

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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.