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Finding the Fourth Proportional to 5,329.72, 7,993.77 and 1,434.43

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Solution

The fourth proportional to 5,329.72, 7,993.77 and 1,434.43 is: 2,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.72 : 7,993.77 = 1,434.43 : x
  2. Step 2: Convert to fraction form
    5,329.72/7,993.77 = 1,434.43/x
  3. Step 3: Cross multiply
    5,329.72x = 7,993.77 × 1,434.43
  4. Step 4: Simplify right side
    5,329.72x = 11,466,503.50
  5. Step 5: Solve for x
    x = 11,466,503.50/5,329.72
  6. Step 6: Final answer
    x = 2,151.43

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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.