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Finding the Fourth Proportional to 5,883.34, 8,824.60 and 2,758.97

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Solution

The fourth proportional to 5,883.34, 8,824.60 and 2,758.97 is: 4,138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.34 : 8,824.60 = 2,758.97 : x
  2. Step 2: Convert to fraction form
    5,883.34/8,824.60 = 2,758.97/x
  3. Step 3: Cross multiply
    5,883.34x = 8,824.60 × 2,758.97
  4. Step 4: Simplify right side
    5,883.34x = 24,346,748.74
  5. Step 5: Solve for x
    x = 24,346,748.74/5,883.34
  6. Step 6: Final answer
    x = 4,138.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.