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Finding the Fourth Proportional to 4,923.88, 7,350.12 and 4,234.97

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Solution

The fourth proportional to 4,923.88, 7,350.12 and 4,234.97 is: 6,321.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.88 : 7,350.12 = 4,234.97 : x
  2. Step 2: Convert to fraction form
    4,923.88/7,350.12 = 4,234.97/x
  3. Step 3: Cross multiply
    4,923.88x = 7,350.12 × 4,234.97
  4. Step 4: Simplify right side
    4,923.88x = 31,127,537.70
  5. Step 5: Solve for x
    x = 31,127,537.70/4,923.88
  6. Step 6: Final answer
    x = 6,321.75

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