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Finding the Fourth Proportional to 5,892.12, 8,826.06 and 4,724.10

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Solution

The fourth proportional to 5,892.12, 8,826.06 and 4,724.10 is: 7,076.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.12 : 8,826.06 = 4,724.10 : x
  2. Step 2: Convert to fraction form
    5,892.12/8,826.06 = 4,724.10/x
  3. Step 3: Cross multiply
    5,892.12x = 8,826.06 × 4,724.10
  4. Step 4: Simplify right side
    5,892.12x = 41,695,190.05
  5. Step 5: Solve for x
    x = 41,695,190.05/5,892.12
  6. Step 6: Final answer
    x = 7,076.43

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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.