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Finding the Fourth Proportional to 5,096.66, 7,646.20 and 2,175.19

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Solution

The fourth proportional to 5,096.66, 7,646.20 and 2,175.19 is: 3,263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.66 : 7,646.20 = 2,175.19 : x
  2. Step 2: Convert to fraction form
    5,096.66/7,646.20 = 2,175.19/x
  3. Step 3: Cross multiply
    5,096.66x = 7,646.20 × 2,175.19
  4. Step 4: Simplify right side
    5,096.66x = 16,631,913.22
  5. Step 5: Solve for x
    x = 16,631,913.22/5,096.66
  6. Step 6: Final answer
    x = 3,263.30

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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.