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Finding the Fourth Proportional to 3,840.96, 5,299.68 and 2,268.24

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Solution

The fourth proportional to 3,840.96, 5,299.68 and 2,268.24 is: 3,129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.96 : 5,299.68 = 2,268.24 : x
  2. Step 2: Convert to fraction form
    3,840.96/5,299.68 = 2,268.24/x
  3. Step 3: Cross multiply
    3,840.96x = 5,299.68 × 2,268.24
  4. Step 4: Simplify right side
    3,840.96x = 12,020,946.16
  5. Step 5: Solve for x
    x = 12,020,946.16/3,840.96
  6. Step 6: Final answer
    x = 3,129.67

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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.