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Finding the Fourth Proportional to 5,127.38, 7,075.78 and 2,769.52

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Solution

The fourth proportional to 5,127.38, 7,075.78 and 2,769.52 is: 3,821.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,127.38 : 7,075.78 = 2,769.52 : x
  2. Step 2: Convert to fraction form
    5,127.38/7,075.78 = 2,769.52/x
  3. Step 3: Cross multiply
    5,127.38x = 7,075.78 × 2,769.52
  4. Step 4: Simplify right side
    5,127.38x = 19,596,514.23
  5. Step 5: Solve for x
    x = 19,596,514.23/5,127.38
  6. Step 6: Final answer
    x = 3,821.94

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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.