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Finding the Fourth Proportional to 4,255, 5,871.96 and 2,599

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Solution

The fourth proportional to 4,255, 5,871.96 and 2,599 is: 3,586.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,255 : 5,871.96 = 2,599 : x
  2. Step 2: Convert to fraction form
    4,255/5,871.96 = 2,599/x
  3. Step 3: Cross multiply
    4,255x = 5,871.96 × 2,599
  4. Step 4: Simplify right side
    4,255x = 15,261,224.04
  5. Step 5: Solve for x
    x = 15,261,224.04/4,255
  6. Step 6: Final answer
    x = 3,586.66

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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.