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Finding the Fourth Proportional to 3,404.26, 4,688.31 and 3,394.54

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Solution

The fourth proportional to 3,404.26, 4,688.31 and 3,394.54 is: 4,674.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.26 : 4,688.31 = 3,394.54 : x
  2. Step 2: Convert to fraction form
    3,404.26/4,688.31 = 3,394.54/x
  3. Step 3: Cross multiply
    3,404.26x = 4,688.31 × 3,394.54
  4. Step 4: Simplify right side
    3,404.26x = 15,914,655.83
  5. Step 5: Solve for x
    x = 15,914,655.83/3,404.26
  6. Step 6: Final answer
    x = 4,674.92

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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.