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Finding the Fourth Proportional to 3,584.99, 5,377.48 and 3,123.09

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Solution

The fourth proportional to 3,584.99, 5,377.48 and 3,123.09 is: 4,684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.99 : 5,377.48 = 3,123.09 : x
  2. Step 2: Convert to fraction form
    3,584.99/5,377.48 = 3,123.09/x
  3. Step 3: Cross multiply
    3,584.99x = 5,377.48 × 3,123.09
  4. Step 4: Simplify right side
    3,584.99x = 16,794,346.21
  5. Step 5: Solve for x
    x = 16,794,346.21/3,584.99
  6. Step 6: Final answer
    x = 4,684.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.