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Finding the Fourth Proportional to 4,074.66, 5,623.17 and 2,306.23

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Solution

The fourth proportional to 4,074.66, 5,623.17 and 2,306.23 is: 3,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.66 : 5,623.17 = 2,306.23 : x
  2. Step 2: Convert to fraction form
    4,074.66/5,623.17 = 2,306.23/x
  3. Step 3: Cross multiply
    4,074.66x = 5,623.17 × 2,306.23
  4. Step 4: Simplify right side
    4,074.66x = 12,968,317.58
  5. Step 5: Solve for x
    x = 12,968,317.58/4,074.66
  6. Step 6: Final answer
    x = 3,182.67

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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.