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Finding the Fourth Proportional to 3,880.55, 5,820.25 and 1,414.79

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Solution

The fourth proportional to 3,880.55, 5,820.25 and 1,414.79 is: 2,121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.55 : 5,820.25 = 1,414.79 : x
  2. Step 2: Convert to fraction form
    3,880.55/5,820.25 = 1,414.79/x
  3. Step 3: Cross multiply
    3,880.55x = 5,820.25 × 1,414.79
  4. Step 4: Simplify right side
    3,880.55x = 8,234,431.50
  5. Step 5: Solve for x
    x = 8,234,431.50/3,880.55
  6. Step 6: Final answer
    x = 2,121.98

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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.