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Finding the Fourth Proportional to 3,136.49, 4,698.64 and 1,745.62

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Solution

The fourth proportional to 3,136.49, 4,698.64 and 1,745.62 is: 2,615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.49 : 4,698.64 = 1,745.62 : x
  2. Step 2: Convert to fraction form
    3,136.49/4,698.64 = 1,745.62/x
  3. Step 3: Cross multiply
    3,136.49x = 4,698.64 × 1,745.62
  4. Step 4: Simplify right side
    3,136.49x = 8,202,030.39
  5. Step 5: Solve for x
    x = 8,202,030.39/3,136.49
  6. Step 6: Final answer
    x = 2,615.04

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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.