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Finding the Fourth Proportional to 3,861.16, 5,797.19 and 3,684.98

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Solution

The fourth proportional to 3,861.16, 5,797.19 and 3,684.98 is: 5,532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.16 : 5,797.19 = 3,684.98 : x
  2. Step 2: Convert to fraction form
    3,861.16/5,797.19 = 3,684.98/x
  3. Step 3: Cross multiply
    3,861.16x = 5,797.19 × 3,684.98
  4. Step 4: Simplify right side
    3,861.16x = 21,362,552.91
  5. Step 5: Solve for x
    x = 21,362,552.91/3,861.16
  6. Step 6: Final answer
    x = 5,532.68

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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.