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Finding the Fourth Proportional to 3,935.25, 5,428.22 and 3,151.17

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Solution

The fourth proportional to 3,935.25, 5,428.22 and 3,151.17 is: 4,346.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.25 : 5,428.22 = 3,151.17 : x
  2. Step 2: Convert to fraction form
    3,935.25/5,428.22 = 3,151.17/x
  3. Step 3: Cross multiply
    3,935.25x = 5,428.22 × 3,151.17
  4. Step 4: Simplify right side
    3,935.25x = 17,105,228.26
  5. Step 5: Solve for x
    x = 17,105,228.26/3,935.25
  6. Step 6: Final answer
    x = 4,346.67

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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.