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Finding the Fourth Proportional to 4,194.69, 5,788.68 and 2,306.47

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Solution

The fourth proportional to 4,194.69, 5,788.68 and 2,306.47 is: 3,182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.69 : 5,788.68 = 2,306.47 : x
  2. Step 2: Convert to fraction form
    4,194.69/5,788.68 = 2,306.47/x
  3. Step 3: Cross multiply
    4,194.69x = 5,788.68 × 2,306.47
  4. Step 4: Simplify right side
    4,194.69x = 13,351,410.94
  5. Step 5: Solve for x
    x = 13,351,410.94/4,194.69
  6. Step 6: Final answer
    x = 3,182.93

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