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Finding the Fourth Proportional to 5,742.66, 7,906.50 and 4,994.22

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Solution

The fourth proportional to 5,742.66, 7,906.50 and 4,994.22 is: 6,876.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.66 : 7,906.50 = 4,994.22 : x
  2. Step 2: Convert to fraction form
    5,742.66/7,906.50 = 4,994.22/x
  3. Step 3: Cross multiply
    5,742.66x = 7,906.50 × 4,994.22
  4. Step 4: Simplify right side
    5,742.66x = 39,486,800.43
  5. Step 5: Solve for x
    x = 39,486,800.43/5,742.66
  6. Step 6: Final answer
    x = 6,876.05

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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.