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Finding the Fourth Proportional to 4,000.46, 6,000.48 and 1,403.19

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Solution

The fourth proportional to 4,000.46, 6,000.48 and 1,403.19 is: 2,104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.46 : 6,000.48 = 1,403.19 : x
  2. Step 2: Convert to fraction form
    4,000.46/6,000.48 = 1,403.19/x
  3. Step 3: Cross multiply
    4,000.46x = 6,000.48 × 1,403.19
  4. Step 4: Simplify right side
    4,000.46x = 8,419,813.53
  5. Step 5: Solve for x
    x = 8,419,813.53/4,000.46
  6. Step 6: Final answer
    x = 2,104.71

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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.