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Finding the Fourth Proportional to 5,200.75, 7,796.49 and 1,913.05

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Solution

The fourth proportional to 5,200.75, 7,796.49 and 1,913.05 is: 2,867.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.75 : 7,796.49 = 1,913.05 : x
  2. Step 2: Convert to fraction form
    5,200.75/7,796.49 = 1,913.05/x
  3. Step 3: Cross multiply
    5,200.75x = 7,796.49 × 1,913.05
  4. Step 4: Simplify right side
    5,200.75x = 14,915,075.19
  5. Step 5: Solve for x
    x = 14,915,075.19/5,200.75
  6. Step 6: Final answer
    x = 2,867.87

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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.