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Finding the Fourth Proportional to 3,771.55, 5,202.16 and 2,276.87

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Solution

The fourth proportional to 3,771.55, 5,202.16 and 2,276.87 is: 3,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.55 : 5,202.16 = 2,276.87 : x
  2. Step 2: Convert to fraction form
    3,771.55/5,202.16 = 2,276.87/x
  3. Step 3: Cross multiply
    3,771.55x = 5,202.16 × 2,276.87
  4. Step 4: Simplify right side
    3,771.55x = 11,844,642.11
  5. Step 5: Solve for x
    x = 11,844,642.11/3,771.55
  6. Step 6: Final answer
    x = 3,140.52

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