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Finding the Fourth Proportional to 5,800.26, 8,705 and 2,103.54

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Solution

The fourth proportional to 5,800.26, 8,705 and 2,103.54 is: 3,156.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800.26 : 8,705 = 2,103.54 : x
  2. Step 2: Convert to fraction form
    5,800.26/8,705 = 2,103.54/x
  3. Step 3: Cross multiply
    5,800.26x = 8,705 × 2,103.54
  4. Step 4: Simplify right side
    5,800.26x = 18,311,315.70
  5. Step 5: Solve for x
    x = 18,311,315.70/5,800.26
  6. Step 6: Final answer
    x = 3,156.98

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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.