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Finding the Fourth Proportional to 5,238.28, 7,823.32 and 4,693.96

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Solution

The fourth proportional to 5,238.28, 7,823.32 and 4,693.96 is: 7,010.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.28 : 7,823.32 = 4,693.96 : x
  2. Step 2: Convert to fraction form
    5,238.28/7,823.32 = 4,693.96/x
  3. Step 3: Cross multiply
    5,238.28x = 7,823.32 × 4,693.96
  4. Step 4: Simplify right side
    5,238.28x = 36,722,351.15
  5. Step 5: Solve for x
    x = 36,722,351.15/5,238.28
  6. Step 6: Final answer
    x = 7,010.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.