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Finding the Fourth Proportional to 4,321.79, 5,963.01 and 2,433

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Solution

The fourth proportional to 4,321.79, 5,963.01 and 2,433 is: 3,356.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.79 : 5,963.01 = 2,433 : x
  2. Step 2: Convert to fraction form
    4,321.79/5,963.01 = 2,433/x
  3. Step 3: Cross multiply
    4,321.79x = 5,963.01 × 2,433
  4. Step 4: Simplify right side
    4,321.79x = 14,508,003.33
  5. Step 5: Solve for x
    x = 14,508,003.33/4,321.79
  6. Step 6: Final answer
    x = 3,356.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.