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Finding the Fourth Proportional to 5,163.90, 7,740.45 and 2,820.30

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Solution

The fourth proportional to 5,163.90, 7,740.45 and 2,820.30 is: 4,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.90 : 7,740.45 = 2,820.30 : x
  2. Step 2: Convert to fraction form
    5,163.90/7,740.45 = 2,820.30/x
  3. Step 3: Cross multiply
    5,163.90x = 7,740.45 × 2,820.30
  4. Step 4: Simplify right side
    5,163.90x = 21,830,391.14
  5. Step 5: Solve for x
    x = 21,830,391.14/5,163.90
  6. Step 6: Final answer
    x = 4,227.50

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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.