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Finding the Fourth Proportional to 5,949.34, 8,920.98 and 1,999.24

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Solution

The fourth proportional to 5,949.34, 8,920.98 and 1,999.24 is: 2,997.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.34 : 8,920.98 = 1,999.24 : x
  2. Step 2: Convert to fraction form
    5,949.34/8,920.98 = 1,999.24/x
  3. Step 3: Cross multiply
    5,949.34x = 8,920.98 × 1,999.24
  4. Step 4: Simplify right side
    5,949.34x = 17,835,180.06
  5. Step 5: Solve for x
    x = 17,835,180.06/5,949.34
  6. Step 6: Final answer
    x = 2,997.84

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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.