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Finding the Fourth Proportional to 4,835.78, 6,671.78 and 2,711

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Solution

The fourth proportional to 4,835.78, 6,671.78 and 2,711 is: 3,740.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,835.78 : 6,671.78 = 2,711 : x
  2. Step 2: Convert to fraction form
    4,835.78/6,671.78 = 2,711/x
  3. Step 3: Cross multiply
    4,835.78x = 6,671.78 × 2,711
  4. Step 4: Simplify right side
    4,835.78x = 18,087,195.58
  5. Step 5: Solve for x
    x = 18,087,195.58/4,835.78
  6. Step 6: Final answer
    x = 3,740.29

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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.