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Finding the Fourth Proportional to 5,911.65, 8,851.07 and 2,983.84

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Solution

The fourth proportional to 5,911.65, 8,851.07 and 2,983.84 is: 4,467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.65 : 8,851.07 = 2,983.84 : x
  2. Step 2: Convert to fraction form
    5,911.65/8,851.07 = 2,983.84/x
  3. Step 3: Cross multiply
    5,911.65x = 8,851.07 × 2,983.84
  4. Step 4: Simplify right side
    5,911.65x = 26,410,162.04
  5. Step 5: Solve for x
    x = 26,410,162.04/5,911.65
  6. Step 6: Final answer
    x = 4,467.48

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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.