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Finding the Fourth Proportional to 5,169.78, 7,135.50 and 3,075.12

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Solution

The fourth proportional to 5,169.78, 7,135.50 and 3,075.12 is: 4,244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.78 : 7,135.50 = 3,075.12 : x
  2. Step 2: Convert to fraction form
    5,169.78/7,135.50 = 3,075.12/x
  3. Step 3: Cross multiply
    5,169.78x = 7,135.50 × 3,075.12
  4. Step 4: Simplify right side
    5,169.78x = 21,942,518.76
  5. Step 5: Solve for x
    x = 21,942,518.76/5,169.78
  6. Step 6: Final answer
    x = 4,244.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.