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Finding the Fourth Proportional to 3,589, 4,950.06 and 3,146.13

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Solution

The fourth proportional to 3,589, 4,950.06 and 3,146.13 is: 4,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589 : 4,950.06 = 3,146.13 : x
  2. Step 2: Convert to fraction form
    3,589/4,950.06 = 3,146.13/x
  3. Step 3: Cross multiply
    3,589x = 4,950.06 × 3,146.13
  4. Step 4: Simplify right side
    3,589x = 15,573,532.27
  5. Step 5: Solve for x
    x = 15,573,532.27/3,589
  6. Step 6: Final answer
    x = 4,339.24

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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.