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Finding the Fourth Proportional to 4,486, 6,191.22 and 2,623

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Solution

The fourth proportional to 4,486, 6,191.22 and 2,623 is: 3,620.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486 : 6,191.22 = 2,623 : x
  2. Step 2: Convert to fraction form
    4,486/6,191.22 = 2,623/x
  3. Step 3: Cross multiply
    4,486x = 6,191.22 × 2,623
  4. Step 4: Simplify right side
    4,486x = 16,239,570.06
  5. Step 5: Solve for x
    x = 16,239,570.06/4,486
  6. Step 6: Final answer
    x = 3,620.06

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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.