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Finding the Fourth Proportional to 5,952.42, 8,917.08 and 4,619.22

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Solution

The fourth proportional to 5,952.42, 8,917.08 and 4,619.22 is: 6,919.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.42 : 8,917.08 = 4,619.22 : x
  2. Step 2: Convert to fraction form
    5,952.42/8,917.08 = 4,619.22/x
  3. Step 3: Cross multiply
    5,952.42x = 8,917.08 × 4,619.22
  4. Step 4: Simplify right side
    5,952.42x = 41,189,954.28
  5. Step 5: Solve for x
    x = 41,189,954.28/5,952.42
  6. Step 6: Final answer
    x = 6,919.87

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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.