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Finding the Fourth Proportional to 3,726.36, 5,141.34 and 2,133

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Solution

The fourth proportional to 3,726.36, 5,141.34 and 2,133 is: 2,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.36 : 5,141.34 = 2,133 : x
  2. Step 2: Convert to fraction form
    3,726.36/5,141.34 = 2,133/x
  3. Step 3: Cross multiply
    3,726.36x = 5,141.34 × 2,133
  4. Step 4: Simplify right side
    3,726.36x = 10,966,478.22
  5. Step 5: Solve for x
    x = 10,966,478.22/3,726.36
  6. Step 6: Final answer
    x = 2,942.95

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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.