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Finding the Fourth Proportional to 3,136.63, 4,704.95 and 1,056.25

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Solution

The fourth proportional to 3,136.63, 4,704.95 and 1,056.25 is: 1,584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.63 : 4,704.95 = 1,056.25 : x
  2. Step 2: Convert to fraction form
    3,136.63/4,704.95 = 1,056.25/x
  3. Step 3: Cross multiply
    3,136.63x = 4,704.95 × 1,056.25
  4. Step 4: Simplify right side
    3,136.63x = 4,969,603.44
  5. Step 5: Solve for x
    x = 4,969,603.44/3,136.63
  6. Step 6: Final answer
    x = 1,584.38

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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.