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Finding the Fourth Proportional to 2,825.93, 3,900.02 and 1,567.38

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Solution

The fourth proportional to 2,825.93, 3,900.02 and 1,567.38 is: 2,163.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.93 : 3,900.02 = 1,567.38 : x
  2. Step 2: Convert to fraction form
    2,825.93/3,900.02 = 1,567.38/x
  3. Step 3: Cross multiply
    2,825.93x = 3,900.02 × 1,567.38
  4. Step 4: Simplify right side
    2,825.93x = 6,112,813.35
  5. Step 5: Solve for x
    x = 6,112,813.35/2,825.93
  6. Step 6: Final answer
    x = 2,163.12

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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.