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Finding the Fourth Proportional to 4,596.93, 6,890.49 and 1,822.41

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Solution

The fourth proportional to 4,596.93, 6,890.49 and 1,822.41 is: 2,731.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.93 : 6,890.49 = 1,822.41 : x
  2. Step 2: Convert to fraction form
    4,596.93/6,890.49 = 1,822.41/x
  3. Step 3: Cross multiply
    4,596.93x = 6,890.49 × 1,822.41
  4. Step 4: Simplify right side
    4,596.93x = 12,557,297.88
  5. Step 5: Solve for x
    x = 12,557,297.88/4,596.93
  6. Step 6: Final answer
    x = 2,731.67

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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.