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Finding the Fourth Proportional to 3,567.85, 4,923.64 and 1,952.73

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Solution

The fourth proportional to 3,567.85, 4,923.64 and 1,952.73 is: 2,694.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.85 : 4,923.64 = 1,952.73 : x
  2. Step 2: Convert to fraction form
    3,567.85/4,923.64 = 1,952.73/x
  3. Step 3: Cross multiply
    3,567.85x = 4,923.64 × 1,952.73
  4. Step 4: Simplify right side
    3,567.85x = 9,614,544.84
  5. Step 5: Solve for x
    x = 9,614,544.84/3,567.85
  6. Step 6: Final answer
    x = 2,694.77

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1.5x scale

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.