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Finding the Fourth Proportional to 4,146.22, 5,712.04 and 2,885.11

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Solution

The fourth proportional to 4,146.22, 5,712.04 and 2,885.11 is: 3,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.22 : 5,712.04 = 2,885.11 : x
  2. Step 2: Convert to fraction form
    4,146.22/5,712.04 = 2,885.11/x
  3. Step 3: Cross multiply
    4,146.22x = 5,712.04 × 2,885.11
  4. Step 4: Simplify right side
    4,146.22x = 16,479,847.75
  5. Step 5: Solve for x
    x = 16,479,847.75/4,146.22
  6. Step 6: Final answer
    x = 3,974.67

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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.