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Finding the Fourth Proportional to 4,468.98, 6,706.49 and 1,836.96

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Solution

The fourth proportional to 4,468.98, 6,706.49 and 1,836.96 is: 2,756.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.98 : 6,706.49 = 1,836.96 : x
  2. Step 2: Convert to fraction form
    4,468.98/6,706.49 = 1,836.96/x
  3. Step 3: Cross multiply
    4,468.98x = 6,706.49 × 1,836.96
  4. Step 4: Simplify right side
    4,468.98x = 12,319,553.87
  5. Step 5: Solve for x
    x = 12,319,553.87/4,468.98
  6. Step 6: Final answer
    x = 2,756.68

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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.