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Finding the Fourth Proportional to 3,567.95, 4,923.74 and 1,996.05

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Solution

The fourth proportional to 3,567.95, 4,923.74 and 1,996.05 is: 2,754.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.95 : 4,923.74 = 1,996.05 : x
  2. Step 2: Convert to fraction form
    3,567.95/4,923.74 = 1,996.05/x
  3. Step 3: Cross multiply
    3,567.95x = 4,923.74 × 1,996.05
  4. Step 4: Simplify right side
    3,567.95x = 9,828,031.23
  5. Step 5: Solve for x
    x = 9,828,031.23/3,567.95
  6. Step 6: Final answer
    x = 2,754.53

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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.