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Finding the Fourth Proportional to 5,644.59, 8,469.12 and 1,749.30

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Solution

The fourth proportional to 5,644.59, 8,469.12 and 1,749.30 is: 2,624.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.59 : 8,469.12 = 1,749.30 : x
  2. Step 2: Convert to fraction form
    5,644.59/8,469.12 = 1,749.30/x
  3. Step 3: Cross multiply
    5,644.59x = 8,469.12 × 1,749.30
  4. Step 4: Simplify right side
    5,644.59x = 14,815,031.62
  5. Step 5: Solve for x
    x = 14,815,031.62/5,644.59
  6. Step 6: Final answer
    x = 2,624.64

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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.