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Finding the Fourth Proportional to 4,734.52, 6,536.46 and 3,338.68

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Solution

The fourth proportional to 4,734.52, 6,536.46 and 3,338.68 is: 4,609.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.52 : 6,536.46 = 3,338.68 : x
  2. Step 2: Convert to fraction form
    4,734.52/6,536.46 = 3,338.68/x
  3. Step 3: Cross multiply
    4,734.52x = 6,536.46 × 3,338.68
  4. Step 4: Simplify right side
    4,734.52x = 21,823,148.27
  5. Step 5: Solve for x
    x = 21,823,148.27/4,734.52
  6. Step 6: Final answer
    x = 4,609.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.