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Finding the Fourth Proportional to 3,277.16, 4,916.19 and 1,196.78

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Solution

The fourth proportional to 3,277.16, 4,916.19 and 1,196.78 is: 1,795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.16 : 4,916.19 = 1,196.78 : x
  2. Step 2: Convert to fraction form
    3,277.16/4,916.19 = 1,196.78/x
  3. Step 3: Cross multiply
    3,277.16x = 4,916.19 × 1,196.78
  4. Step 4: Simplify right side
    3,277.16x = 5,883,577.78
  5. Step 5: Solve for x
    x = 5,883,577.78/3,277.16
  6. Step 6: Final answer
    x = 1,795.33

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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.