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Finding the Fourth Proportional to 4,225.06, 5,832.62 and 2,811.10

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Solution

The fourth proportional to 4,225.06, 5,832.62 and 2,811.10 is: 3,880.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225.06 : 5,832.62 = 2,811.10 : x
  2. Step 2: Convert to fraction form
    4,225.06/5,832.62 = 2,811.10/x
  3. Step 3: Cross multiply
    4,225.06x = 5,832.62 × 2,811.10
  4. Step 4: Simplify right side
    4,225.06x = 16,396,078.08
  5. Step 5: Solve for x
    x = 16,396,078.08/4,225.06
  6. Step 6: Final answer
    x = 3,880.67

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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.