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Finding the Fourth Proportional to 5,150.27, 7,706.26 and 3,071.40

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Solution

The fourth proportional to 5,150.27, 7,706.26 and 3,071.40 is: 4,595.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.27 : 7,706.26 = 3,071.40 : x
  2. Step 2: Convert to fraction form
    5,150.27/7,706.26 = 3,071.40/x
  3. Step 3: Cross multiply
    5,150.27x = 7,706.26 × 3,071.40
  4. Step 4: Simplify right side
    5,150.27x = 23,669,006.96
  5. Step 5: Solve for x
    x = 23,669,006.96/5,150.27
  6. Step 6: Final answer
    x = 4,595.68

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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.