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Finding the Fourth Proportional to 3,136.90, 4,706.18 and 1,189.12

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Solution

The fourth proportional to 3,136.90, 4,706.18 and 1,189.12 is: 1,783.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.90 : 4,706.18 = 1,189.12 : x
  2. Step 2: Convert to fraction form
    3,136.90/4,706.18 = 1,189.12/x
  3. Step 3: Cross multiply
    3,136.90x = 4,706.18 × 1,189.12
  4. Step 4: Simplify right side
    3,136.90x = 5,596,212.76
  5. Step 5: Solve for x
    x = 5,596,212.76/3,136.90
  6. Step 6: Final answer
    x = 1,783.99

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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.