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Finding the Fourth Proportional to 3,838.14, 5,758.29 and 1,373.31

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Solution

The fourth proportional to 3,838.14, 5,758.29 and 1,373.31 is: 2,060.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.14 : 5,758.29 = 1,373.31 : x
  2. Step 2: Convert to fraction form
    3,838.14/5,758.29 = 1,373.31/x
  3. Step 3: Cross multiply
    3,838.14x = 5,758.29 × 1,373.31
  4. Step 4: Simplify right side
    3,838.14x = 7,907,917.24
  5. Step 5: Solve for x
    x = 7,907,917.24/3,838.14
  6. Step 6: Final answer
    x = 2,060.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.