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Finding the Fourth Proportional to 3,155.83, 4,709.42 and 2,771.89

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Solution

The fourth proportional to 3,155.83, 4,709.42 and 2,771.89 is: 4,136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.83 : 4,709.42 = 2,771.89 : x
  2. Step 2: Convert to fraction form
    3,155.83/4,709.42 = 2,771.89/x
  3. Step 3: Cross multiply
    3,155.83x = 4,709.42 × 2,771.89
  4. Step 4: Simplify right side
    3,155.83x = 13,053,994.56
  5. Step 5: Solve for x
    x = 13,053,994.56/3,155.83
  6. Step 6: Final answer
    x = 4,136.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.