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Finding the Fourth Proportional to 4,194.61, 5,788.44 and 2,306.19

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Solution

The fourth proportional to 4,194.61, 5,788.44 and 2,306.19 is: 3,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.61 : 5,788.44 = 2,306.19 : x
  2. Step 2: Convert to fraction form
    4,194.61/5,788.44 = 2,306.19/x
  3. Step 3: Cross multiply
    4,194.61x = 5,788.44 × 2,306.19
  4. Step 4: Simplify right side
    4,194.61x = 13,349,245.38
  5. Step 5: Solve for x
    x = 13,349,245.38/4,194.61
  6. Step 6: Final answer
    x = 3,182.48

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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.