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Finding the Fourth Proportional to 4,074.72, 5,622.18 and 2,305.94

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Solution

The fourth proportional to 4,074.72, 5,622.18 and 2,305.94 is: 3,181.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.72 : 5,622.18 = 2,305.94 : x
  2. Step 2: Convert to fraction form
    4,074.72/5,622.18 = 2,305.94/x
  3. Step 3: Cross multiply
    4,074.72x = 5,622.18 × 2,305.94
  4. Step 4: Simplify right side
    4,074.72x = 12,964,409.75
  5. Step 5: Solve for x
    x = 12,964,409.75/4,074.72
  6. Step 6: Final answer
    x = 3,181.67

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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.