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Finding the Fourth Proportional to 3,584.62, 4,944.48 and 2,920

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Solution

The fourth proportional to 3,584.62, 4,944.48 and 2,920 is: 4,027.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.62 : 4,944.48 = 2,920 : x
  2. Step 2: Convert to fraction form
    3,584.62/4,944.48 = 2,920/x
  3. Step 3: Cross multiply
    3,584.62x = 4,944.48 × 2,920
  4. Step 4: Simplify right side
    3,584.62x = 14,437,881.60
  5. Step 5: Solve for x
    x = 14,437,881.60/3,584.62
  6. Step 6: Final answer
    x = 4,027.73

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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.