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Finding the Fourth Proportional to 5,369.54, 8,051.72 and 4,196.57

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Solution

The fourth proportional to 5,369.54, 8,051.72 and 4,196.57 is: 6,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.54 : 8,051.72 = 4,196.57 : x
  2. Step 2: Convert to fraction form
    5,369.54/8,051.72 = 4,196.57/x
  3. Step 3: Cross multiply
    5,369.54x = 8,051.72 × 4,196.57
  4. Step 4: Simplify right side
    5,369.54x = 33,789,545.36
  5. Step 5: Solve for x
    x = 33,789,545.36/5,369.54
  6. Step 6: Final answer
    x = 6,292.83

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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.