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Finding the Fourth Proportional to 3,628.85, 5,008.29 and 2,057

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Solution

The fourth proportional to 3,628.85, 5,008.29 and 2,057 is: 2,838.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.85 : 5,008.29 = 2,057 : x
  2. Step 2: Convert to fraction form
    3,628.85/5,008.29 = 2,057/x
  3. Step 3: Cross multiply
    3,628.85x = 5,008.29 × 2,057
  4. Step 4: Simplify right side
    3,628.85x = 10,302,052.53
  5. Step 5: Solve for x
    x = 10,302,052.53/3,628.85
  6. Step 6: Final answer
    x = 2,838.93

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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.