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Finding the Fourth Proportional to 5,645.34, 8,459.94 and 3,174.99

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Solution

The fourth proportional to 5,645.34, 8,459.94 and 3,174.99 is: 4,757.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.34 : 8,459.94 = 3,174.99 : x
  2. Step 2: Convert to fraction form
    5,645.34/8,459.94 = 3,174.99/x
  3. Step 3: Cross multiply
    5,645.34x = 8,459.94 × 3,174.99
  4. Step 4: Simplify right side
    5,645.34x = 26,860,224.90
  5. Step 5: Solve for x
    x = 26,860,224.90/5,645.34
  6. Step 6: Final answer
    x = 4,757.95

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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.