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Finding the Fourth Proportional to 4,304.29, 5,939.98 and 4,155.30

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Solution

The fourth proportional to 4,304.29, 5,939.98 and 4,155.30 is: 5,734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.29 : 5,939.98 = 4,155.30 : x
  2. Step 2: Convert to fraction form
    4,304.29/5,939.98 = 4,155.30/x
  3. Step 3: Cross multiply
    4,304.29x = 5,939.98 × 4,155.30
  4. Step 4: Simplify right side
    4,304.29x = 24,682,411.88
  5. Step 5: Solve for x
    x = 24,682,411.88/4,304.29
  6. Step 6: Final answer
    x = 5,734.38

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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.