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Finding the Fourth Proportional to 5,830.70, 8,745.82 and 1,670.69

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Solution

The fourth proportional to 5,830.70, 8,745.82 and 1,670.69 is: 2,505.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.70 : 8,745.82 = 1,670.69 : x
  2. Step 2: Convert to fraction form
    5,830.70/8,745.82 = 1,670.69/x
  3. Step 3: Cross multiply
    5,830.70x = 8,745.82 × 1,670.69
  4. Step 4: Simplify right side
    5,830.70x = 14,611,571.70
  5. Step 5: Solve for x
    x = 14,611,571.70/5,830.70
  6. Step 6: Final answer
    x = 2,505.97

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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.