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Finding the Fourth Proportional to 3,771.90, 5,202.63 and 2,655.18

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Solution

The fourth proportional to 3,771.90, 5,202.63 and 2,655.18 is: 3,662.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.90 : 5,202.63 = 2,655.18 : x
  2. Step 2: Convert to fraction form
    3,771.90/5,202.63 = 2,655.18/x
  3. Step 3: Cross multiply
    3,771.90x = 5,202.63 × 2,655.18
  4. Step 4: Simplify right side
    3,771.90x = 13,813,919.12
  5. Step 5: Solve for x
    x = 13,813,919.12/3,771.90
  6. Step 6: Final answer
    x = 3,662.32

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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.