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Finding the Fourth Proportional to 4,194.65, 5,788.85 and 2,306.40

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Solution

The fourth proportional to 4,194.65, 5,788.85 and 2,306.40 is: 3,182.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.65 : 5,788.85 = 2,306.40 : x
  2. Step 2: Convert to fraction form
    4,194.65/5,788.85 = 2,306.40/x
  3. Step 3: Cross multiply
    4,194.65x = 5,788.85 × 2,306.40
  4. Step 4: Simplify right side
    4,194.65x = 13,351,403.64
  5. Step 5: Solve for x
    x = 13,351,403.64/4,194.65
  6. Step 6: Final answer
    x = 3,182.96

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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.