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Finding the Fourth Proportional to 4,194.29, 5,788.10 and 2,305.99

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Solution

The fourth proportional to 4,194.29, 5,788.10 and 2,305.99 is: 3,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.29 : 5,788.10 = 2,305.99 : x
  2. Step 2: Convert to fraction form
    4,194.29/5,788.10 = 2,305.99/x
  3. Step 3: Cross multiply
    4,194.29x = 5,788.10 × 2,305.99
  4. Step 4: Simplify right side
    4,194.29x = 13,347,283.37
  5. Step 5: Solve for x
    x = 13,347,283.37/4,194.29
  6. Step 6: Final answer
    x = 3,182.25

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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.