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Finding the Fourth Proportional to 3,771.52, 5,204.52 and 2,199.58

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Solution

The fourth proportional to 3,771.52, 5,204.52 and 2,199.58 is: 3,035.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.52 : 5,204.52 = 2,199.58 : x
  2. Step 2: Convert to fraction form
    3,771.52/5,204.52 = 2,199.58/x
  3. Step 3: Cross multiply
    3,771.52x = 5,204.52 × 2,199.58
  4. Step 4: Simplify right side
    3,771.52x = 11,447,758.10
  5. Step 5: Solve for x
    x = 11,447,758.10/3,771.52
  6. Step 6: Final answer
    x = 3,035.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.