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Finding the Fourth Proportional to 5,136.36, 7,706.22 and 1,848.84

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Solution

The fourth proportional to 5,136.36, 7,706.22 and 1,848.84 is: 2,773.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.36 : 7,706.22 = 1,848.84 : x
  2. Step 2: Convert to fraction form
    5,136.36/7,706.22 = 1,848.84/x
  3. Step 3: Cross multiply
    5,136.36x = 7,706.22 × 1,848.84
  4. Step 4: Simplify right side
    5,136.36x = 14,247,567.78
  5. Step 5: Solve for x
    x = 14,247,567.78/5,136.36
  6. Step 6: Final answer
    x = 2,773.86

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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.