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Finding the Fourth Proportional to 4,199.55, 5,795.28 and 2,311.08

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Solution

The fourth proportional to 4,199.55, 5,795.28 and 2,311.08 is: 3,189.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.55 : 5,795.28 = 2,311.08 : x
  2. Step 2: Convert to fraction form
    4,199.55/5,795.28 = 2,311.08/x
  3. Step 3: Cross multiply
    4,199.55x = 5,795.28 × 2,311.08
  4. Step 4: Simplify right side
    4,199.55x = 13,393,355.70
  5. Step 5: Solve for x
    x = 13,393,355.70/4,199.55
  6. Step 6: Final answer
    x = 3,189.24

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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.