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Finding the Fourth Proportional to 3,428.01, 4,729.86 and 2,311.02

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Solution

The fourth proportional to 3,428.01, 4,729.86 and 2,311.02 is: 3,188.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.01 : 4,729.86 = 2,311.02 : x
  2. Step 2: Convert to fraction form
    3,428.01/4,729.86 = 2,311.02/x
  3. Step 3: Cross multiply
    3,428.01x = 4,729.86 × 2,311.02
  4. Step 4: Simplify right side
    3,428.01x = 10,930,801.06
  5. Step 5: Solve for x
    x = 10,930,801.06/3,428.01
  6. Step 6: Final answer
    x = 3,188.67

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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.