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Finding the Fourth Proportional to 4,138.44, 6,208.57 and 1,365.00

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Solution

The fourth proportional to 4,138.44, 6,208.57 and 1,365.00 is: 2,047.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.44 : 6,208.57 = 1,365.00 : x
  2. Step 2: Convert to fraction form
    4,138.44/6,208.57 = 1,365.00/x
  3. Step 3: Cross multiply
    4,138.44x = 6,208.57 × 1,365.00
  4. Step 4: Simplify right side
    4,138.44x = 8,474,675.95
  5. Step 5: Solve for x
    x = 8,474,675.95/4,138.44
  6. Step 6: Final answer
    x = 2,047.79

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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.