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Finding the Fourth Proportional to 5,096.93, 7,645.80 and 2,175.26

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Solution

The fourth proportional to 5,096.93, 7,645.80 and 2,175.26 is: 3,263.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.93 : 7,645.80 = 2,175.26 : x
  2. Step 2: Convert to fraction form
    5,096.93/7,645.80 = 2,175.26/x
  3. Step 3: Cross multiply
    5,096.93x = 7,645.80 × 2,175.26
  4. Step 4: Simplify right side
    5,096.93x = 16,631,602.91
  5. Step 5: Solve for x
    x = 16,631,602.91/5,096.93
  6. Step 6: Final answer
    x = 3,263.06

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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.