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Finding the Fourth Proportional to 3,771.90, 5,655.24 and 1,550.70

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Solution

The fourth proportional to 3,771.90, 5,655.24 and 1,550.70 is: 2,324.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.90 : 5,655.24 = 1,550.70 : x
  2. Step 2: Convert to fraction form
    3,771.90/5,655.24 = 1,550.70/x
  3. Step 3: Cross multiply
    3,771.90x = 5,655.24 × 1,550.70
  4. Step 4: Simplify right side
    3,771.90x = 8,769,580.67
  5. Step 5: Solve for x
    x = 8,769,580.67/3,771.90
  6. Step 6: Final answer
    x = 2,324.98

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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.