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Finding the Fourth Proportional to 4,094.99, 6,142.68 and 2,462.03

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Solution

The fourth proportional to 4,094.99, 6,142.68 and 2,462.03 is: 3,693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.99 : 6,142.68 = 2,462.03 : x
  2. Step 2: Convert to fraction form
    4,094.99/6,142.68 = 2,462.03/x
  3. Step 3: Cross multiply
    4,094.99x = 6,142.68 × 2,462.03
  4. Step 4: Simplify right side
    4,094.99x = 15,123,431.73
  5. Step 5: Solve for x
    x = 15,123,431.73/4,094.99
  6. Step 6: Final answer
    x = 3,693.16

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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.