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Finding the Fourth Proportional to 3,567.59, 4,923 and 1,995.38

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Solution

The fourth proportional to 3,567.59, 4,923 and 1,995.38 is: 2,753.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.59 : 4,923 = 1,995.38 : x
  2. Step 2: Convert to fraction form
    3,567.59/4,923 = 1,995.38/x
  3. Step 3: Cross multiply
    3,567.59x = 4,923 × 1,995.38
  4. Step 4: Simplify right side
    3,567.59x = 9,823,231.13
  5. Step 5: Solve for x
    x = 9,823,231.13/3,567.59
  6. Step 6: Final answer
    x = 2,753.47

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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.