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Finding the Fourth Proportional to 3,629.01, 5,008.14 and 2,057.13

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Solution

The fourth proportional to 3,629.01, 5,008.14 and 2,057.13 is: 2,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629.01 : 5,008.14 = 2,057.13 : x
  2. Step 2: Convert to fraction form
    3,629.01/5,008.14 = 2,057.13/x
  3. Step 3: Cross multiply
    3,629.01x = 5,008.14 × 2,057.13
  4. Step 4: Simplify right side
    3,629.01x = 10,302,395.04
  5. Step 5: Solve for x
    x = 10,302,395.04/3,629.01
  6. Step 6: Final answer
    x = 2,838.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.