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Finding the Fourth Proportional to 5,759.50, 7,946.23 and 3,401.18

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Solution

The fourth proportional to 5,759.50, 7,946.23 and 3,401.18 is: 4,692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.50 : 7,946.23 = 3,401.18 : x
  2. Step 2: Convert to fraction form
    5,759.50/7,946.23 = 3,401.18/x
  3. Step 3: Cross multiply
    5,759.50x = 7,946.23 × 3,401.18
  4. Step 4: Simplify right side
    5,759.50x = 27,026,558.55
  5. Step 5: Solve for x
    x = 27,026,558.55/5,759.50
  6. Step 6: Final answer
    x = 4,692.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.