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Finding the Fourth Proportional to 3,951.60, 5,449.32 and 2,830.56

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Solution

The fourth proportional to 3,951.60, 5,449.32 and 2,830.56 is: 3,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.60 : 5,449.32 = 2,830.56 : x
  2. Step 2: Convert to fraction form
    3,951.60/5,449.32 = 2,830.56/x
  3. Step 3: Cross multiply
    3,951.60x = 5,449.32 × 2,830.56
  4. Step 4: Simplify right side
    3,951.60x = 15,424,627.22
  5. Step 5: Solve for x
    x = 15,424,627.22/3,951.60
  6. Step 6: Final answer
    x = 3,903.39

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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.