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Finding the Fourth Proportional to 3,567.76, 4,923.38 and 1,995.82

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Solution

The fourth proportional to 3,567.76, 4,923.38 and 1,995.82 is: 2,754.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.76 : 4,923.38 = 1,995.82 : x
  2. Step 2: Convert to fraction form
    3,567.76/4,923.38 = 1,995.82/x
  3. Step 3: Cross multiply
    3,567.76x = 4,923.38 × 1,995.82
  4. Step 4: Simplify right side
    3,567.76x = 9,826,145.68
  5. Step 5: Solve for x
    x = 9,826,145.68/3,567.76
  6. Step 6: Final answer
    x = 2,754.15

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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.