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Finding the Fourth Proportional to 5,238.98, 7,855.58 and 2,313.86

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Solution

The fourth proportional to 5,238.98, 7,855.58 and 2,313.86 is: 3,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.98 : 7,855.58 = 2,313.86 : x
  2. Step 2: Convert to fraction form
    5,238.98/7,855.58 = 2,313.86/x
  3. Step 3: Cross multiply
    5,238.98x = 7,855.58 × 2,313.86
  4. Step 4: Simplify right side
    5,238.98x = 18,176,712.34
  5. Step 5: Solve for x
    x = 18,176,712.34/5,238.98
  6. Step 6: Final answer
    x = 3,469.51

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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.