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Finding the Fourth Proportional to 4,994.88, 6,876 and 4,292.16

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Solution

The fourth proportional to 4,994.88, 6,876 and 4,292.16 is: 5,908.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,994.88 : 6,876 = 4,292.16 : x
  2. Step 2: Convert to fraction form
    4,994.88/6,876 = 4,292.16/x
  3. Step 3: Cross multiply
    4,994.88x = 6,876 × 4,292.16
  4. Step 4: Simplify right side
    4,994.88x = 29,512,892.16
  5. Step 5: Solve for x
    x = 29,512,892.16/4,994.88
  6. Step 6: Final answer
    x = 5,908.63

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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.