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Finding the Fourth Proportional to 3,809.10, 5,257.56 and 3,415.44

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Solution

The fourth proportional to 3,809.10, 5,257.56 and 3,415.44 is: 4,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.10 : 5,257.56 = 3,415.44 : x
  2. Step 2: Convert to fraction form
    3,809.10/5,257.56 = 3,415.44/x
  3. Step 3: Cross multiply
    3,809.10x = 5,257.56 × 3,415.44
  4. Step 4: Simplify right side
    3,809.10x = 17,956,880.73
  5. Step 5: Solve for x
    x = 17,956,880.73/3,809.10
  6. Step 6: Final answer
    x = 4,714.21

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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.