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Finding the Fourth Proportional to 3,352.69, 5,036.94 and 3,166.20

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Solution

The fourth proportional to 3,352.69, 5,036.94 and 3,166.20 is: 4,756.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,352.69 : 5,036.94 = 3,166.20 : x
  2. Step 2: Convert to fraction form
    3,352.69/5,036.94 = 3,166.20/x
  3. Step 3: Cross multiply
    3,352.69x = 5,036.94 × 3,166.20
  4. Step 4: Simplify right side
    3,352.69x = 15,947,959.43
  5. Step 5: Solve for x
    x = 15,947,959.43/3,352.69
  6. Step 6: Final answer
    x = 4,756.77

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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.