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Finding the Fourth Proportional to 3,710.44, 5,120.46 and 2,054.44

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Solution

The fourth proportional to 3,710.44, 5,120.46 and 2,054.44 is: 2,835.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.44 : 5,120.46 = 2,054.44 : x
  2. Step 2: Convert to fraction form
    3,710.44/5,120.46 = 2,054.44/x
  3. Step 3: Cross multiply
    3,710.44x = 5,120.46 × 2,054.44
  4. Step 4: Simplify right side
    3,710.44x = 10,519,677.84
  5. Step 5: Solve for x
    x = 10,519,677.84/3,710.44
  6. Step 6: Final answer
    x = 2,835.16

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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.