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Finding the Fourth Proportional to 5,096.41, 7,645.37 and 1,809.22

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Solution

The fourth proportional to 5,096.41, 7,645.37 and 1,809.22 is: 2,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.41 : 7,645.37 = 1,809.22 : x
  2. Step 2: Convert to fraction form
    5,096.41/7,645.37 = 1,809.22/x
  3. Step 3: Cross multiply
    5,096.41x = 7,645.37 × 1,809.22
  4. Step 4: Simplify right side
    5,096.41x = 13,832,175.42
  5. Step 5: Solve for x
    x = 13,832,175.42/5,096.41
  6. Step 6: Final answer
    x = 2,714.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.