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Finding the Fourth Proportional to 5,136.92, 7,706.69 and 3,030.34

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Solution

The fourth proportional to 5,136.92, 7,706.69 and 3,030.34 is: 4,546.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.92 : 7,706.69 = 3,030.34 : x
  2. Step 2: Convert to fraction form
    5,136.92/7,706.69 = 3,030.34/x
  3. Step 3: Cross multiply
    5,136.92x = 7,706.69 × 3,030.34
  4. Step 4: Simplify right side
    5,136.92x = 23,353,890.97
  5. Step 5: Solve for x
    x = 23,353,890.97/5,136.92
  6. Step 6: Final answer
    x = 4,546.28

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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.