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Finding the Fourth Proportional to 5,949.82, 8,923.82 and 2,053.32

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Solution

The fourth proportional to 5,949.82, 8,923.82 and 2,053.32 is: 3,079.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.82 : 8,923.82 = 2,053.32 : x
  2. Step 2: Convert to fraction form
    5,949.82/8,923.82 = 2,053.32/x
  3. Step 3: Cross multiply
    5,949.82x = 8,923.82 × 2,053.32
  4. Step 4: Simplify right side
    5,949.82x = 18,323,458.08
  5. Step 5: Solve for x
    x = 18,323,458.08/5,949.82
  6. Step 6: Final answer
    x = 3,079.67

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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.