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Finding the Fourth Proportional to 3,820.94, 5,731.41 and 2,522.11

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Solution

The fourth proportional to 3,820.94, 5,731.41 and 2,522.11 is: 3,783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.94 : 5,731.41 = 2,522.11 : x
  2. Step 2: Convert to fraction form
    3,820.94/5,731.41 = 2,522.11/x
  3. Step 3: Cross multiply
    3,820.94x = 5,731.41 × 2,522.11
  4. Step 4: Simplify right side
    3,820.94x = 14,455,241.60
  5. Step 5: Solve for x
    x = 14,455,241.60/3,820.94
  6. Step 6: Final answer
    x = 3,783.16

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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.