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Finding the Fourth Proportional to 3,922.02, 5,883.03 and 1,456.79

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Solution

The fourth proportional to 3,922.02, 5,883.03 and 1,456.79 is: 2,185.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.02 : 5,883.03 = 1,456.79 : x
  2. Step 2: Convert to fraction form
    3,922.02/5,883.03 = 1,456.79/x
  3. Step 3: Cross multiply
    3,922.02x = 5,883.03 × 1,456.79
  4. Step 4: Simplify right side
    3,922.02x = 8,570,309.86
  5. Step 5: Solve for x
    x = 8,570,309.86/3,922.02
  6. Step 6: Final answer
    x = 2,185.18

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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.