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Finding the Fourth Proportional to 5,369.10, 8,051.49 and 1,905.54

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Solution

The fourth proportional to 5,369.10, 8,051.49 and 1,905.54 is: 2,857.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.10 : 8,051.49 = 1,905.54 : x
  2. Step 2: Convert to fraction form
    5,369.10/8,051.49 = 1,905.54/x
  3. Step 3: Cross multiply
    5,369.10x = 8,051.49 × 1,905.54
  4. Step 4: Simplify right side
    5,369.10x = 15,342,436.25
  5. Step 5: Solve for x
    x = 15,342,436.25/5,369.10
  6. Step 6: Final answer
    x = 2,857.54

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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.