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Finding the Fourth Proportional to 4,406.94, 6,089.62 and 3,209.84

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Solution

The fourth proportional to 4,406.94, 6,089.62 and 3,209.84 is: 4,435.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,406.94 : 6,089.62 = 3,209.84 : x
  2. Step 2: Convert to fraction form
    4,406.94/6,089.62 = 3,209.84/x
  3. Step 3: Cross multiply
    4,406.94x = 6,089.62 × 3,209.84
  4. Step 4: Simplify right side
    4,406.94x = 19,546,705.86
  5. Step 5: Solve for x
    x = 19,546,705.86/4,406.94
  6. Step 6: Final answer
    x = 4,435.44

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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.