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Finding the Fourth Proportional to 2,859.10, 3,994.10 and 2,859.10

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Solution

The fourth proportional to 2,859.10, 3,994.10 and 2,859.10 is: 3,994.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.10 : 3,994.10 = 2,859.10 : x
  2. Step 2: Convert to fraction form
    2,859.10/3,994.10 = 2,859.10/x
  3. Step 3: Cross multiply
    2,859.10x = 3,994.10 × 2,859.10
  4. Step 4: Simplify right side
    2,859.10x = 11,419,531.31
  5. Step 5: Solve for x
    x = 11,419,531.31/2,859.10
  6. Step 6: Final answer
    x = 3,994.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.