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Finding the Fourth Proportional to 4,074.48, 5,623 and 2,306.48

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Solution

The fourth proportional to 4,074.48, 5,623 and 2,306.48 is: 3,183.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.48 : 5,623 = 2,306.48 : x
  2. Step 2: Convert to fraction form
    4,074.48/5,623 = 2,306.48/x
  3. Step 3: Cross multiply
    4,074.48x = 5,623 × 2,306.48
  4. Step 4: Simplify right side
    4,074.48x = 12,969,337.04
  5. Step 5: Solve for x
    x = 12,969,337.04/4,074.48
  6. Step 6: Final answer
    x = 3,183.07

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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.