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Finding the Fourth Proportional to 4,244.64, 5,857.60 and 2,477.44

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Solution

The fourth proportional to 4,244.64, 5,857.60 and 2,477.44 is: 3,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,244.64 : 5,857.60 = 2,477.44 : x
  2. Step 2: Convert to fraction form
    4,244.64/5,857.60 = 2,477.44/x
  3. Step 3: Cross multiply
    4,244.64x = 5,857.60 × 2,477.44
  4. Step 4: Simplify right side
    4,244.64x = 14,511,852.54
  5. Step 5: Solve for x
    x = 14,511,852.54/4,244.64
  6. Step 6: Final answer
    x = 3,418.87

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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.