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Finding the Fourth Proportional to 4,196.64, 5,790.60 and 2,427.60

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Solution

The fourth proportional to 4,196.64, 5,790.60 and 2,427.60 is: 3,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.64 : 5,790.60 = 2,427.60 : x
  2. Step 2: Convert to fraction form
    4,196.64/5,790.60 = 2,427.60/x
  3. Step 3: Cross multiply
    4,196.64x = 5,790.60 × 2,427.60
  4. Step 4: Simplify right side
    4,196.64x = 14,057,260.56
  5. Step 5: Solve for x
    x = 14,057,260.56/4,196.64
  6. Step 6: Final answer
    x = 3,349.65

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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.