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Finding the Fourth Proportional to 3,703.77, 5,109.48 and 2,286.27

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Solution

The fourth proportional to 3,703.77, 5,109.48 and 2,286.27 is: 3,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.77 : 5,109.48 = 2,286.27 : x
  2. Step 2: Convert to fraction form
    3,703.77/5,109.48 = 2,286.27/x
  3. Step 3: Cross multiply
    3,703.77x = 5,109.48 × 2,286.27
  4. Step 4: Simplify right side
    3,703.77x = 11,681,650.84
  5. Step 5: Solve for x
    x = 11,681,650.84/3,703.77
  6. Step 6: Final answer
    x = 3,153.99

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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.