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Finding the Fourth Proportional to 4,079, 5,629.50 and 2,423

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Solution

The fourth proportional to 4,079, 5,629.50 and 2,423 is: 3,344.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,079 : 5,629.50 = 2,423 : x
  2. Step 2: Convert to fraction form
    4,079/5,629.50 = 2,423/x
  3. Step 3: Cross multiply
    4,079x = 5,629.50 × 2,423
  4. Step 4: Simplify right side
    4,079x = 13,640,278.50
  5. Step 5: Solve for x
    x = 13,640,278.50/4,079
  6. Step 6: Final answer
    x = 3,344.03

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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.