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Finding the Fourth Proportional to 3,567.49, 4,924.49 and 3,193.80

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Solution

The fourth proportional to 3,567.49, 4,924.49 and 3,193.80 is: 4,408.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.49 : 4,924.49 = 3,193.80 : x
  2. Step 2: Convert to fraction form
    3,567.49/4,924.49 = 3,193.80/x
  3. Step 3: Cross multiply
    3,567.49x = 4,924.49 × 3,193.80
  4. Step 4: Simplify right side
    3,567.49x = 15,727,836.16
  5. Step 5: Solve for x
    x = 15,727,836.16/3,567.49
  6. Step 6: Final answer
    x = 4,408.66

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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.