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Finding the Fourth Proportional to 5,638.96, 8,460.06 and 1,744.12

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Solution

The fourth proportional to 5,638.96, 8,460.06 and 1,744.12 is: 2,616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.96 : 8,460.06 = 1,744.12 : x
  2. Step 2: Convert to fraction form
    5,638.96/8,460.06 = 1,744.12/x
  3. Step 3: Cross multiply
    5,638.96x = 8,460.06 × 1,744.12
  4. Step 4: Simplify right side
    5,638.96x = 14,755,359.85
  5. Step 5: Solve for x
    x = 14,755,359.85/5,638.96
  6. Step 6: Final answer
    x = 2,616.68

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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.