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Finding the Fourth Proportional to 4,205.88, 5,804.90 and 2,789.60

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Solution

The fourth proportional to 4,205.88, 5,804.90 and 2,789.60 is: 3,850.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.88 : 5,804.90 = 2,789.60 : x
  2. Step 2: Convert to fraction form
    4,205.88/5,804.90 = 2,789.60/x
  3. Step 3: Cross multiply
    4,205.88x = 5,804.90 × 2,789.60
  4. Step 4: Simplify right side
    4,205.88x = 16,193,349.04
  5. Step 5: Solve for x
    x = 16,193,349.04/4,205.88
  6. Step 6: Final answer
    x = 3,850.17

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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.