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Finding the Fourth Proportional to 5,071.96, 7,609.02 and 2,150.20

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Solution

The fourth proportional to 5,071.96, 7,609.02 and 2,150.20 is: 3,225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.96 : 7,609.02 = 2,150.20 : x
  2. Step 2: Convert to fraction form
    5,071.96/7,609.02 = 2,150.20/x
  3. Step 3: Cross multiply
    5,071.96x = 7,609.02 × 2,150.20
  4. Step 4: Simplify right side
    5,071.96x = 16,360,914.80
  5. Step 5: Solve for x
    x = 16,360,914.80/5,071.96
  6. Step 6: Final answer
    x = 3,225.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.