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Finding the Fourth Proportional to 5,197.80, 7,792.02 and 1,908.66

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Solution

The fourth proportional to 5,197.80, 7,792.02 and 1,908.66 is: 2,861.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.80 : 7,792.02 = 1,908.66 : x
  2. Step 2: Convert to fraction form
    5,197.80/7,792.02 = 1,908.66/x
  3. Step 3: Cross multiply
    5,197.80x = 7,792.02 × 1,908.66
  4. Step 4: Simplify right side
    5,197.80x = 14,872,316.89
  5. Step 5: Solve for x
    x = 14,872,316.89/5,197.80
  6. Step 6: Final answer
    x = 2,861.27

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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.