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Finding the Fourth Proportional to 5,209.95, 7,795.14 and 3,201.48

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Solution

The fourth proportional to 5,209.95, 7,795.14 and 3,201.48 is: 4,790.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.95 : 7,795.14 = 3,201.48 : x
  2. Step 2: Convert to fraction form
    5,209.95/7,795.14 = 3,201.48/x
  3. Step 3: Cross multiply
    5,209.95x = 7,795.14 × 3,201.48
  4. Step 4: Simplify right side
    5,209.95x = 24,955,984.81
  5. Step 5: Solve for x
    x = 24,955,984.81/5,209.95
  6. Step 6: Final answer
    x = 4,790.06

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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.