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Finding the Fourth Proportional to 5,193.96, 7,792.26 and 1,496.19

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Solution

The fourth proportional to 5,193.96, 7,792.26 and 1,496.19 is: 2,244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.96 : 7,792.26 = 1,496.19 : x
  2. Step 2: Convert to fraction form
    5,193.96/7,792.26 = 1,496.19/x
  3. Step 3: Cross multiply
    5,193.96x = 7,792.26 × 1,496.19
  4. Step 4: Simplify right side
    5,193.96x = 11,658,701.49
  5. Step 5: Solve for x
    x = 11,658,701.49/5,193.96
  6. Step 6: Final answer
    x = 2,244.67

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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.