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Finding the Fourth Proportional to 3,421.97, 5,141.61 and 3,283.58

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Solution

The fourth proportional to 3,421.97, 5,141.61 and 3,283.58 is: 4,933.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.97 : 5,141.61 = 3,283.58 : x
  2. Step 2: Convert to fraction form
    3,421.97/5,141.61 = 3,283.58/x
  3. Step 3: Cross multiply
    3,421.97x = 5,141.61 × 3,283.58
  4. Step 4: Simplify right side
    3,421.97x = 16,882,854.94
  5. Step 5: Solve for x
    x = 16,882,854.94/3,421.97
  6. Step 6: Final answer
    x = 4,933.66

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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.