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Finding the Fourth Proportional to 5,946.68, 8,204.32 and 3,706.70

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Solution

The fourth proportional to 5,946.68, 8,204.32 and 3,706.70 is: 5,113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.68 : 8,204.32 = 3,706.70 : x
  2. Step 2: Convert to fraction form
    5,946.68/8,204.32 = 3,706.70/x
  3. Step 3: Cross multiply
    5,946.68x = 8,204.32 × 3,706.70
  4. Step 4: Simplify right side
    5,946.68x = 30,410,916.56
  5. Step 5: Solve for x
    x = 30,410,916.56/5,946.68
  6. Step 6: Final answer
    x = 5,113.93

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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.