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Finding the Fourth Proportional to 4,544.58, 6,816.87 and 4,194.66

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Solution

The fourth proportional to 4,544.58, 6,816.87 and 4,194.66 is: 6,291.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544.58 : 6,816.87 = 4,194.66 : x
  2. Step 2: Convert to fraction form
    4,544.58/6,816.87 = 4,194.66/x
  3. Step 3: Cross multiply
    4,544.58x = 6,816.87 × 4,194.66
  4. Step 4: Simplify right side
    4,544.58x = 28,594,451.91
  5. Step 5: Solve for x
    x = 28,594,451.91/4,544.58
  6. Step 6: Final answer
    x = 6,291.99

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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.