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Finding the Fourth Proportional to 3,887.67, 5,364.82 and 2,119.24

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Solution

The fourth proportional to 3,887.67, 5,364.82 and 2,119.24 is: 2,924.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.67 : 5,364.82 = 2,119.24 : x
  2. Step 2: Convert to fraction form
    3,887.67/5,364.82 = 2,119.24/x
  3. Step 3: Cross multiply
    3,887.67x = 5,364.82 × 2,119.24
  4. Step 4: Simplify right side
    3,887.67x = 11,369,341.14
  5. Step 5: Solve for x
    x = 11,369,341.14/3,887.67
  6. Step 6: Final answer
    x = 2,924.46

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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.