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Finding the Fourth Proportional to 3,752.46, 5,178.60 and 2,427.30

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Solution

The fourth proportional to 3,752.46, 5,178.60 and 2,427.30 is: 3,349.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.46 : 5,178.60 = 2,427.30 : x
  2. Step 2: Convert to fraction form
    3,752.46/5,178.60 = 2,427.30/x
  3. Step 3: Cross multiply
    3,752.46x = 5,178.60 × 2,427.30
  4. Step 4: Simplify right side
    3,752.46x = 12,570,015.78
  5. Step 5: Solve for x
    x = 12,570,015.78/3,752.46
  6. Step 6: Final answer
    x = 3,349.81

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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.