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Finding the Fourth Proportional to 5,136.80, 7,705.18 and 1,241.20

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Solution

The fourth proportional to 5,136.80, 7,705.18 and 1,241.20 is: 1,861.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.80 : 7,705.18 = 1,241.20 : x
  2. Step 2: Convert to fraction form
    5,136.80/7,705.18 = 1,241.20/x
  3. Step 3: Cross multiply
    5,136.80x = 7,705.18 × 1,241.20
  4. Step 4: Simplify right side
    5,136.80x = 9,563,669.42
  5. Step 5: Solve for x
    x = 9,563,669.42/5,136.80
  6. Step 6: Final answer
    x = 1,861.80

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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.