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Finding the Fourth Proportional to 5,738.10, 8,605.94 and 2,617.22

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Solution

The fourth proportional to 5,738.10, 8,605.94 and 2,617.22 is: 3,925.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.10 : 8,605.94 = 2,617.22 : x
  2. Step 2: Convert to fraction form
    5,738.10/8,605.94 = 2,617.22/x
  3. Step 3: Cross multiply
    5,738.10x = 8,605.94 × 2,617.22
  4. Step 4: Simplify right side
    5,738.10x = 22,523,638.29
  5. Step 5: Solve for x
    x = 22,523,638.29/5,738.10
  6. Step 6: Final answer
    x = 3,925.28

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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.