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Finding the Fourth Proportional to 5,893.24, 8,824.08 and 3,114.16

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Solution

The fourth proportional to 5,893.24, 8,824.08 and 3,114.16 is: 4,662.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.24 : 8,824.08 = 3,114.16 : x
  2. Step 2: Convert to fraction form
    5,893.24/8,824.08 = 3,114.16/x
  3. Step 3: Cross multiply
    5,893.24x = 8,824.08 × 3,114.16
  4. Step 4: Simplify right side
    5,893.24x = 27,479,596.97
  5. Step 5: Solve for x
    x = 27,479,596.97/5,893.24
  6. Step 6: Final answer
    x = 4,662.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.