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Finding the Fourth Proportional to 4,297.44, 6,447.38 and 2,106.80

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Solution

The fourth proportional to 4,297.44, 6,447.38 and 2,106.80 is: 3,160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.44 : 6,447.38 = 2,106.80 : x
  2. Step 2: Convert to fraction form
    4,297.44/6,447.38 = 2,106.80/x
  3. Step 3: Cross multiply
    4,297.44x = 6,447.38 × 2,106.80
  4. Step 4: Simplify right side
    4,297.44x = 13,583,340.18
  5. Step 5: Solve for x
    x = 13,583,340.18/4,297.44
  6. Step 6: Final answer
    x = 3,160.80

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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.