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Finding the Fourth Proportional to 5,626.86, 8,440.83 and 1,466.85

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Solution

The fourth proportional to 5,626.86, 8,440.83 and 1,466.85 is: 2,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.86 : 8,440.83 = 1,466.85 : x
  2. Step 2: Convert to fraction form
    5,626.86/8,440.83 = 1,466.85/x
  3. Step 3: Cross multiply
    5,626.86x = 8,440.83 × 1,466.85
  4. Step 4: Simplify right side
    5,626.86x = 12,381,431.49
  5. Step 5: Solve for x
    x = 12,381,431.49/5,626.86
  6. Step 6: Final answer
    x = 2,200.42

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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.