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Finding the Fourth Proportional to 4,074.98, 5,623.29 and 2,306.54

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Solution

The fourth proportional to 4,074.98, 5,623.29 and 2,306.54 is: 3,182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.98 : 5,623.29 = 2,306.54 : x
  2. Step 2: Convert to fraction form
    4,074.98/5,623.29 = 2,306.54/x
  3. Step 3: Cross multiply
    4,074.98x = 5,623.29 × 2,306.54
  4. Step 4: Simplify right side
    4,074.98x = 12,970,357.37
  5. Step 5: Solve for x
    x = 12,970,357.37/4,074.98
  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.