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Finding the Fourth Proportional to 4,206.96, 6,311.12 and 1,433.80

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Solution

The fourth proportional to 4,206.96, 6,311.12 and 1,433.80 is: 2,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.96 : 6,311.12 = 1,433.80 : x
  2. Step 2: Convert to fraction form
    4,206.96/6,311.12 = 1,433.80/x
  3. Step 3: Cross multiply
    4,206.96x = 6,311.12 × 1,433.80
  4. Step 4: Simplify right side
    4,206.96x = 9,048,883.86
  5. Step 5: Solve for x
    x = 9,048,883.86/4,206.96
  6. Step 6: Final answer
    x = 2,150.93

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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.