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Finding the Fourth Proportional to 4,522.76, 6,782.89 and 1,235.98

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Solution

The fourth proportional to 4,522.76, 6,782.89 and 1,235.98 is: 1,853.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.76 : 6,782.89 = 1,235.98 : x
  2. Step 2: Convert to fraction form
    4,522.76/6,782.89 = 1,235.98/x
  3. Step 3: Cross multiply
    4,522.76x = 6,782.89 × 1,235.98
  4. Step 4: Simplify right side
    4,522.76x = 8,383,516.38
  5. Step 5: Solve for x
    x = 8,383,516.38/4,522.76
  6. Step 6: Final answer
    x = 1,853.63

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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.