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Finding the Fourth Proportional to 4,112.28, 5,673.51 and 2,853

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Solution

The fourth proportional to 4,112.28, 5,673.51 and 2,853 is: 3,936.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112.28 : 5,673.51 = 2,853 : x
  2. Step 2: Convert to fraction form
    4,112.28/5,673.51 = 2,853/x
  3. Step 3: Cross multiply
    4,112.28x = 5,673.51 × 2,853
  4. Step 4: Simplify right side
    4,112.28x = 16,186,524.03
  5. Step 5: Solve for x
    x = 16,186,524.03/4,112.28
  6. Step 6: Final answer
    x = 3,936.14

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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.