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Finding the Fourth Proportional to 3,136.14, 4,704.75 and 944.64

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Solution

The fourth proportional to 3,136.14, 4,704.75 and 944.64 is: 1,417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.14 : 4,704.75 = 944.64 : x
  2. Step 2: Convert to fraction form
    3,136.14/4,704.75 = 944.64/x
  3. Step 3: Cross multiply
    3,136.14x = 4,704.75 × 944.64
  4. Step 4: Simplify right side
    3,136.14x = 4,444,295.04
  5. Step 5: Solve for x
    x = 4,444,295.04/3,136.14
  6. Step 6: Final answer
    x = 1,417.12

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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.