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Finding the Fourth Proportional to 5,329.92, 7,993.98 and 1,433.46

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Solution

The fourth proportional to 5,329.92, 7,993.98 and 1,433.46 is: 2,149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.92 : 7,993.98 = 1,433.46 : x
  2. Step 2: Convert to fraction form
    5,329.92/7,993.98 = 1,433.46/x
  3. Step 3: Cross multiply
    5,329.92x = 7,993.98 × 1,433.46
  4. Step 4: Simplify right side
    5,329.92x = 11,459,050.57
  5. Step 5: Solve for x
    x = 11,459,050.57/5,329.92
  6. Step 6: Final answer
    x = 2,149.95

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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.