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Finding the Fourth Proportional to 3,967.92, 5,476.94 and 2,290.43

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Solution

The fourth proportional to 3,967.92, 5,476.94 and 2,290.43 is: 3,161.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.92 : 5,476.94 = 2,290.43 : x
  2. Step 2: Convert to fraction form
    3,967.92/5,476.94 = 2,290.43/x
  3. Step 3: Cross multiply
    3,967.92x = 5,476.94 × 2,290.43
  4. Step 4: Simplify right side
    3,967.92x = 12,544,547.68
  5. Step 5: Solve for x
    x = 12,544,547.68/3,967.92
  6. Step 6: Final answer
    x = 3,161.49

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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.