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Finding the Fourth Proportional to 3,641.58, 5,465.61 and 1,694.88

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Solution

The fourth proportional to 3,641.58, 5,465.61 and 1,694.88 is: 2,543.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.58 : 5,465.61 = 1,694.88 : x
  2. Step 2: Convert to fraction form
    3,641.58/5,465.61 = 1,694.88/x
  3. Step 3: Cross multiply
    3,641.58x = 5,465.61 × 1,694.88
  4. Step 4: Simplify right side
    3,641.58x = 9,263,553.08
  5. Step 5: Solve for x
    x = 9,263,553.08/3,641.58
  6. Step 6: Final answer
    x = 2,543.83

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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.