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Finding the Fourth Proportional to 5,075.90, 6,998.40 and 3,882.38

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Solution

The fourth proportional to 5,075.90, 6,998.40 and 3,882.38 is: 5,352.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075.90 : 6,998.40 = 3,882.38 : x
  2. Step 2: Convert to fraction form
    5,075.90/6,998.40 = 3,882.38/x
  3. Step 3: Cross multiply
    5,075.90x = 6,998.40 × 3,882.38
  4. Step 4: Simplify right side
    5,075.90x = 27,170,448.19
  5. Step 5: Solve for x
    x = 27,170,448.19/5,075.90
  6. Step 6: Final answer
    x = 5,352.83

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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.