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Finding the Fourth Proportional to 5,208.62, 7,810.49 and 3,017.97

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Solution

The fourth proportional to 5,208.62, 7,810.49 and 3,017.97 is: 4,525.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.62 : 7,810.49 = 3,017.97 : x
  2. Step 2: Convert to fraction form
    5,208.62/7,810.49 = 3,017.97/x
  3. Step 3: Cross multiply
    5,208.62x = 7,810.49 × 3,017.97
  4. Step 4: Simplify right side
    5,208.62x = 23,571,832.05
  5. Step 5: Solve for x
    x = 23,571,832.05/5,208.62
  6. Step 6: Final answer
    x = 4,525.55

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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.