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Finding the Fourth Proportional to 5,645.94, 7,782.39 and 4,449.03

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Solution

The fourth proportional to 5,645.94, 7,782.39 and 4,449.03 is: 6,132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.94 : 7,782.39 = 4,449.03 : x
  2. Step 2: Convert to fraction form
    5,645.94/7,782.39 = 4,449.03/x
  3. Step 3: Cross multiply
    5,645.94x = 7,782.39 × 4,449.03
  4. Step 4: Simplify right side
    5,645.94x = 34,624,086.58
  5. Step 5: Solve for x
    x = 34,624,086.58/5,645.94
  6. Step 6: Final answer
    x = 6,132.56

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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.