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Finding the Fourth Proportional to 5,644.89, 8,466.93 and 1,749.20

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Solution

The fourth proportional to 5,644.89, 8,466.93 and 1,749.20 is: 2,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.89 : 8,466.93 = 1,749.20 : x
  2. Step 2: Convert to fraction form
    5,644.89/8,466.93 = 1,749.20/x
  3. Step 3: Cross multiply
    5,644.89x = 8,466.93 × 1,749.20
  4. Step 4: Simplify right side
    5,644.89x = 14,810,311.62
  5. Step 5: Solve for x
    x = 14,810,311.62/5,644.89
  6. Step 6: Final answer
    x = 2,623.67

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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.