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Finding the Fourth Proportional to 4,083, 6,125.04 and 3,441.48

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Solution

The fourth proportional to 4,083, 6,125.04 and 3,441.48 is: 5,162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083 : 6,125.04 = 3,441.48 : x
  2. Step 2: Convert to fraction form
    4,083/6,125.04 = 3,441.48/x
  3. Step 3: Cross multiply
    4,083x = 6,125.04 × 3,441.48
  4. Step 4: Simplify right side
    4,083x = 21,079,202.66
  5. Step 5: Solve for x
    x = 21,079,202.66/4,083
  6. Step 6: Final answer
    x = 5,162.68

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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.