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Finding the Fourth Proportional to 3,782.63, 5,220.08 and 2,104.14

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Solution

The fourth proportional to 3,782.63, 5,220.08 and 2,104.14 is: 2,903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.63 : 5,220.08 = 2,104.14 : x
  2. Step 2: Convert to fraction form
    3,782.63/5,220.08 = 2,104.14/x
  3. Step 3: Cross multiply
    3,782.63x = 5,220.08 × 2,104.14
  4. Step 4: Simplify right side
    3,782.63x = 10,983,768.61
  5. Step 5: Solve for x
    x = 10,983,768.61/3,782.63
  6. Step 6: Final answer
    x = 2,903.74

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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.