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Finding the Fourth Proportional to 3,567.83, 4,923.48 and 1,952.67

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Solution

The fourth proportional to 3,567.83, 4,923.48 and 1,952.67 is: 2,694.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.83 : 4,923.48 = 1,952.67 : x
  2. Step 2: Convert to fraction form
    3,567.83/4,923.48 = 1,952.67/x
  3. Step 3: Cross multiply
    3,567.83x = 4,923.48 × 1,952.67
  4. Step 4: Simplify right side
    3,567.83x = 9,613,931.69
  5. Step 5: Solve for x
    x = 9,613,931.69/3,567.83
  6. Step 6: Final answer
    x = 2,694.62

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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.