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Finding the Fourth Proportional to 3,277.76, 4,916.16 and 1,086.52

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Solution

The fourth proportional to 3,277.76, 4,916.16 and 1,086.52 is: 1,629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.76 : 4,916.16 = 1,086.52 : x
  2. Step 2: Convert to fraction form
    3,277.76/4,916.16 = 1,086.52/x
  3. Step 3: Cross multiply
    3,277.76x = 4,916.16 × 1,086.52
  4. Step 4: Simplify right side
    3,277.76x = 5,341,506.16
  5. Step 5: Solve for x
    x = 5,341,506.16/3,277.76
  6. Step 6: Final answer
    x = 1,629.62

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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.