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Finding the Fourth Proportional to 4,498.30, 6,748.21 and 1,378.22

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Solution

The fourth proportional to 4,498.30, 6,748.21 and 1,378.22 is: 2,067.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.30 : 6,748.21 = 1,378.22 : x
  2. Step 2: Convert to fraction form
    4,498.30/6,748.21 = 1,378.22/x
  3. Step 3: Cross multiply
    4,498.30x = 6,748.21 × 1,378.22
  4. Step 4: Simplify right side
    4,498.30x = 9,300,485.97
  5. Step 5: Solve for x
    x = 9,300,485.97/4,498.30
  6. Step 6: Final answer
    x = 2,067.56

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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.