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Finding the Fourth Proportional to 4,094.52, 5,648.32 and 2,768.70

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Solution

The fourth proportional to 4,094.52, 5,648.32 and 2,768.70 is: 3,819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.52 : 5,648.32 = 2,768.70 : x
  2. Step 2: Convert to fraction form
    4,094.52/5,648.32 = 2,768.70/x
  3. Step 3: Cross multiply
    4,094.52x = 5,648.32 × 2,768.70
  4. Step 4: Simplify right side
    4,094.52x = 15,638,503.58
  5. Step 5: Solve for x
    x = 15,638,503.58/4,094.52
  6. Step 6: Final answer
    x = 3,819.37

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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.