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Finding the Fourth Proportional to 3,803.96, 5,701.22 and 2,155.50

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Solution

The fourth proportional to 3,803.96, 5,701.22 and 2,155.50 is: 3,230.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.96 : 5,701.22 = 2,155.50 : x
  2. Step 2: Convert to fraction form
    3,803.96/5,701.22 = 2,155.50/x
  3. Step 3: Cross multiply
    3,803.96x = 5,701.22 × 2,155.50
  4. Step 4: Simplify right side
    3,803.96x = 12,288,993.96
  5. Step 5: Solve for x
    x = 12,288,993.96/3,803.96
  6. Step 6: Final answer
    x = 3,230.58

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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.