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Finding the Fourth Proportional to 4,136.96, 5,710.08 and 2,739.20

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Solution

The fourth proportional to 4,136.96, 5,710.08 and 2,739.20 is: 3,780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.96 : 5,710.08 = 2,739.20 : x
  2. Step 2: Convert to fraction form
    4,136.96/5,710.08 = 2,739.20/x
  3. Step 3: Cross multiply
    4,136.96x = 5,710.08 × 2,739.20
  4. Step 4: Simplify right side
    4,136.96x = 15,641,051.14
  5. Step 5: Solve for x
    x = 15,641,051.14/4,136.96
  6. Step 6: Final answer
    x = 3,780.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.