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Finding the Fourth Proportional to 4,106.14, 5,653.49 and 3,731.99

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Solution

The fourth proportional to 4,106.14, 5,653.49 and 3,731.99 is: 5,138.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.14 : 5,653.49 = 3,731.99 : x
  2. Step 2: Convert to fraction form
    4,106.14/5,653.49 = 3,731.99/x
  3. Step 3: Cross multiply
    4,106.14x = 5,653.49 × 3,731.99
  4. Step 4: Simplify right side
    4,106.14x = 21,098,721.22
  5. Step 5: Solve for x
    x = 21,098,721.22/4,106.14
  6. Step 6: Final answer
    x = 5,138.34

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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.