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Finding the Fourth Proportional to 5,204.22, 7,794.06 and 4,516.50

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Solution

The fourth proportional to 5,204.22, 7,794.06 and 4,516.50 is: 6,764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.22 : 7,794.06 = 4,516.50 : x
  2. Step 2: Convert to fraction form
    5,204.22/7,794.06 = 4,516.50/x
  3. Step 3: Cross multiply
    5,204.22x = 7,794.06 × 4,516.50
  4. Step 4: Simplify right side
    5,204.22x = 35,201,871.99
  5. Step 5: Solve for x
    x = 35,201,871.99/5,204.22
  6. Step 6: Final answer
    x = 6,764.10

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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.