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Finding the Fourth Proportional to 5,988, 8,264 and 3,504

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Solution

The fourth proportional to 5,988, 8,264 and 3,504 is: 4,835.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,988 : 8,264 = 3,504 : x
  2. Step 2: Convert to fraction form
    5,988/8,264 = 3,504/x
  3. Step 3: Cross multiply
    5,988x = 8,264 × 3,504
  4. Step 4: Simplify right side
    5,988x = 28,957,056
  5. Step 5: Solve for x
    x = 28,957,056/5,988
  6. Step 6: Final answer
    x = 4,835.85

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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.