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Finding the Fourth Proportional to 5,865.54, 8,094.36 and 3,212.94

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Solution

The fourth proportional to 5,865.54, 8,094.36 and 3,212.94 is: 4,433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.54 : 8,094.36 = 3,212.94 : x
  2. Step 2: Convert to fraction form
    5,865.54/8,094.36 = 3,212.94/x
  3. Step 3: Cross multiply
    5,865.54x = 8,094.36 × 3,212.94
  4. Step 4: Simplify right side
    5,865.54x = 26,006,693.02
  5. Step 5: Solve for x
    x = 26,006,693.02/5,865.54
  6. Step 6: Final answer
    x = 4,433.81

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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.