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Finding the Fourth Proportional to 4,684.92, 6,464.94 and 2,589

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Solution

The fourth proportional to 4,684.92, 6,464.94 and 2,589 is: 3,572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.92 : 6,464.94 = 2,589 : x
  2. Step 2: Convert to fraction form
    4,684.92/6,464.94 = 2,589/x
  3. Step 3: Cross multiply
    4,684.92x = 6,464.94 × 2,589
  4. Step 4: Simplify right side
    4,684.92x = 16,737,729.66
  5. Step 5: Solve for x
    x = 16,737,729.66/4,684.92
  6. Step 6: Final answer
    x = 3,572.68

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1.5x scale

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.