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Finding the Fourth Proportional to 4,094.34, 6,136.69 and 1,898.44

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Solution

The fourth proportional to 4,094.34, 6,136.69 and 1,898.44 is: 2,845.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.34 : 6,136.69 = 1,898.44 : x
  2. Step 2: Convert to fraction form
    4,094.34/6,136.69 = 1,898.44/x
  3. Step 3: Cross multiply
    4,094.34x = 6,136.69 × 1,898.44
  4. Step 4: Simplify right side
    4,094.34x = 11,650,137.76
  5. Step 5: Solve for x
    x = 11,650,137.76/4,094.34
  6. Step 6: Final answer
    x = 2,845.43

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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.