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Finding the Fourth Proportional to 3,668.40, 5,062.52 and 2,075.12

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Solution

The fourth proportional to 3,668.40, 5,062.52 and 2,075.12 is: 2,863.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.40 : 5,062.52 = 2,075.12 : x
  2. Step 2: Convert to fraction form
    3,668.40/5,062.52 = 2,075.12/x
  3. Step 3: Cross multiply
    3,668.40x = 5,062.52 × 2,075.12
  4. Step 4: Simplify right side
    3,668.40x = 10,505,316.38
  5. Step 5: Solve for x
    x = 10,505,316.38/3,668.40
  6. Step 6: Final answer
    x = 2,863.73

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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.