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Finding the Fourth Proportional to 3,406.07, 5,085.26 and 3,197.50

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Solution

The fourth proportional to 3,406.07, 5,085.26 and 3,197.50 is: 4,773.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.07 : 5,085.26 = 3,197.50 : x
  2. Step 2: Convert to fraction form
    3,406.07/5,085.26 = 3,197.50/x
  3. Step 3: Cross multiply
    3,406.07x = 5,085.26 × 3,197.50
  4. Step 4: Simplify right side
    3,406.07x = 16,260,118.85
  5. Step 5: Solve for x
    x = 16,260,118.85/3,406.07
  6. Step 6: Final answer
    x = 4,773.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.