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Finding the Fourth Proportional to 5,745.84, 8,618.85 and 2,783.67

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Solution

The fourth proportional to 5,745.84, 8,618.85 and 2,783.67 is: 4,175.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.84 : 8,618.85 = 2,783.67 : x
  2. Step 2: Convert to fraction form
    5,745.84/8,618.85 = 2,783.67/x
  3. Step 3: Cross multiply
    5,745.84x = 8,618.85 × 2,783.67
  4. Step 4: Simplify right side
    5,745.84x = 23,992,034.18
  5. Step 5: Solve for x
    x = 23,992,034.18/5,745.84
  6. Step 6: Final answer
    x = 4,175.55

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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.