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Finding the Fourth Proportional to 4,375.44, 6,564.60 and 4,136.40

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Solution

The fourth proportional to 4,375.44, 6,564.60 and 4,136.40 is: 6,205.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,375.44 : 6,564.60 = 4,136.40 : x
  2. Step 2: Convert to fraction form
    4,375.44/6,564.60 = 4,136.40/x
  3. Step 3: Cross multiply
    4,375.44x = 6,564.60 × 4,136.40
  4. Step 4: Simplify right side
    4,375.44x = 27,153,811.44
  5. Step 5: Solve for x
    x = 27,153,811.44/4,375.44
  6. Step 6: Final answer
    x = 6,205.96

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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.