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Finding the Fourth Proportional to 5,644.86, 8,467.53 and 1,749.18

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Solution

The fourth proportional to 5,644.86, 8,467.53 and 1,749.18 is: 2,623.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.86 : 8,467.53 = 1,749.18 : x
  2. Step 2: Convert to fraction form
    5,644.86/8,467.53 = 1,749.18/x
  3. Step 3: Cross multiply
    5,644.86x = 8,467.53 × 1,749.18
  4. Step 4: Simplify right side
    5,644.86x = 14,811,234.13
  5. Step 5: Solve for x
    x = 14,811,234.13/5,644.86
  6. Step 6: Final answer
    x = 2,623.84

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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.