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Finding the Fourth Proportional to 4,486.59, 6,194.07 and 2,999.43

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Solution

The fourth proportional to 4,486.59, 6,194.07 and 2,999.43 is: 4,140.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.59 : 6,194.07 = 2,999.43 : x
  2. Step 2: Convert to fraction form
    4,486.59/6,194.07 = 2,999.43/x
  3. Step 3: Cross multiply
    4,486.59x = 6,194.07 × 2,999.43
  4. Step 4: Simplify right side
    4,486.59x = 18,578,679.38
  5. Step 5: Solve for x
    x = 18,578,679.38/4,486.59
  6. Step 6: Final answer
    x = 4,140.94

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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.