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Finding the Fourth Proportional to 4,090.60, 6,136.05 and 3,877.37

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Solution

The fourth proportional to 4,090.60, 6,136.05 and 3,877.37 is: 5,816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.60 : 6,136.05 = 3,877.37 : x
  2. Step 2: Convert to fraction form
    4,090.60/6,136.05 = 3,877.37/x
  3. Step 3: Cross multiply
    4,090.60x = 6,136.05 × 3,877.37
  4. Step 4: Simplify right side
    4,090.60x = 23,791,743.06
  5. Step 5: Solve for x
    x = 23,791,743.06/4,090.60
  6. Step 6: Final answer
    x = 5,816.20

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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.