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Finding the Fourth Proportional to 4,486.86, 6,189.75 and 2,914.38

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Solution

The fourth proportional to 4,486.86, 6,189.75 and 2,914.38 is: 4,020.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.86 : 6,189.75 = 2,914.38 : x
  2. Step 2: Convert to fraction form
    4,486.86/6,189.75 = 2,914.38/x
  3. Step 3: Cross multiply
    4,486.86x = 6,189.75 × 2,914.38
  4. Step 4: Simplify right side
    4,486.86x = 18,039,283.61
  5. Step 5: Solve for x
    x = 18,039,283.61/4,486.86
  6. Step 6: Final answer
    x = 4,020.47

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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.