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Finding the Fourth Proportional to 5,101.42, 7,645 and 2,631.05

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Solution

The fourth proportional to 5,101.42, 7,645 and 2,631.05 is: 3,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.42 : 7,645 = 2,631.05 : x
  2. Step 2: Convert to fraction form
    5,101.42/7,645 = 2,631.05/x
  3. Step 3: Cross multiply
    5,101.42x = 7,645 × 2,631.05
  4. Step 4: Simplify right side
    5,101.42x = 20,114,377.25
  5. Step 5: Solve for x
    x = 20,114,377.25/5,101.42
  6. Step 6: Final answer
    x = 3,942.90

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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.