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Finding the Fourth Proportional to 3,850.07, 5,309.28 and 3,101.63

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Solution

The fourth proportional to 3,850.07, 5,309.28 and 3,101.63 is: 4,277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.07 : 5,309.28 = 3,101.63 : x
  2. Step 2: Convert to fraction form
    3,850.07/5,309.28 = 3,101.63/x
  3. Step 3: Cross multiply
    3,850.07x = 5,309.28 × 3,101.63
  4. Step 4: Simplify right side
    3,850.07x = 16,467,395.58
  5. Step 5: Solve for x
    x = 16,467,395.58/3,850.07
  6. Step 6: Final answer
    x = 4,277.17

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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.