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Finding the Fourth Proportional to 3,755.42, 5,178.62 and 2,263.04

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Solution

The fourth proportional to 3,755.42, 5,178.62 and 2,263.04 is: 3,120.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.42 : 5,178.62 = 2,263.04 : x
  2. Step 2: Convert to fraction form
    3,755.42/5,178.62 = 2,263.04/x
  3. Step 3: Cross multiply
    3,755.42x = 5,178.62 × 2,263.04
  4. Step 4: Simplify right side
    3,755.42x = 11,719,424.20
  5. Step 5: Solve for x
    x = 11,719,424.20/3,755.42
  6. Step 6: Final answer
    x = 3,120.67

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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.