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Finding the Fourth Proportional to 2,906.02, 4,016.01 and 2,582.02

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Solution

The fourth proportional to 2,906.02, 4,016.01 and 2,582.02 is: 3,568.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.02 : 4,016.01 = 2,582.02 : x
  2. Step 2: Convert to fraction form
    2,906.02/4,016.01 = 2,582.02/x
  3. Step 3: Cross multiply
    2,906.02x = 4,016.01 × 2,582.02
  4. Step 4: Simplify right side
    2,906.02x = 10,369,418.14
  5. Step 5: Solve for x
    x = 10,369,418.14/2,906.02
  6. Step 6: Final answer
    x = 3,568.25

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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.