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Finding the Fourth Proportional to 5,855.65, 8,080.86 and 3,203

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Solution

The fourth proportional to 5,855.65, 8,080.86 and 3,203 is: 4,420.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.65 : 8,080.86 = 3,203 : x
  2. Step 2: Convert to fraction form
    5,855.65/8,080.86 = 3,203/x
  3. Step 3: Cross multiply
    5,855.65x = 8,080.86 × 3,203
  4. Step 4: Simplify right side
    5,855.65x = 25,882,978.57
  5. Step 5: Solve for x
    x = 25,882,978.57/5,855.65
  6. Step 6: Final answer
    x = 4,420.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.