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Finding the Fourth Proportional to 4,219.56, 5,817.56 and 3,460.55

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Solution

The fourth proportional to 4,219.56, 5,817.56 and 3,460.55 is: 4,771.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.56 : 5,817.56 = 3,460.55 : x
  2. Step 2: Convert to fraction form
    4,219.56/5,817.56 = 3,460.55/x
  3. Step 3: Cross multiply
    4,219.56x = 5,817.56 × 3,460.55
  4. Step 4: Simplify right side
    4,219.56x = 20,131,910.87
  5. Step 5: Solve for x
    x = 20,131,910.87/4,219.56
  6. Step 6: Final answer
    x = 4,771.09

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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.