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Finding the Fourth Proportional to 3,773.58, 5,208.87 and 2,282.77

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Solution

The fourth proportional to 3,773.58, 5,208.87 and 2,282.77 is: 3,151.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.58 : 5,208.87 = 2,282.77 : x
  2. Step 2: Convert to fraction form
    3,773.58/5,208.87 = 2,282.77/x
  3. Step 3: Cross multiply
    3,773.58x = 5,208.87 × 2,282.77
  4. Step 4: Simplify right side
    3,773.58x = 11,890,652.17
  5. Step 5: Solve for x
    x = 11,890,652.17/3,773.58
  6. Step 6: Final answer
    x = 3,151.03

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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.