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Finding the Fourth Proportional to 3,290.69, 4,911.17 and 3,203.21

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Solution

The fourth proportional to 3,290.69, 4,911.17 and 3,203.21 is: 4,780.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.69 : 4,911.17 = 3,203.21 : x
  2. Step 2: Convert to fraction form
    3,290.69/4,911.17 = 3,203.21/x
  3. Step 3: Cross multiply
    3,290.69x = 4,911.17 × 3,203.21
  4. Step 4: Simplify right side
    3,290.69x = 15,731,505.12
  5. Step 5: Solve for x
    x = 15,731,505.12/3,290.69
  6. Step 6: Final answer
    x = 4,780.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.