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Finding the Fourth Proportional to 5,197.79, 7,792.06 and 1,910.11

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Solution

The fourth proportional to 5,197.79, 7,792.06 and 1,910.11 is: 2,863.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.79 : 7,792.06 = 1,910.11 : x
  2. Step 2: Convert to fraction form
    5,197.79/7,792.06 = 1,910.11/x
  3. Step 3: Cross multiply
    5,197.79x = 7,792.06 × 1,910.11
  4. Step 4: Simplify right side
    5,197.79x = 14,883,715.74
  5. Step 5: Solve for x
    x = 14,883,715.74/5,197.79
  6. Step 6: Final answer
    x = 2,863.47

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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.