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Finding the Fourth Proportional to 5,110.08, 7,659.67 and 2,914.08

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Solution

The fourth proportional to 5,110.08, 7,659.67 and 2,914.08 is: 4,368.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,110.08 : 7,659.67 = 2,914.08 : x
  2. Step 2: Convert to fraction form
    5,110.08/7,659.67 = 2,914.08/x
  3. Step 3: Cross multiply
    5,110.08x = 7,659.67 × 2,914.08
  4. Step 4: Simplify right side
    5,110.08x = 22,320,891.15
  5. Step 5: Solve for x
    x = 22,320,891.15/5,110.08
  6. Step 6: Final answer
    x = 4,368.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.