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Finding the Fourth Proportional to 5,881.56, 8,106.66 and 3,782.04

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Solution

The fourth proportional to 5,881.56, 8,106.66 and 3,782.04 is: 5,212.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.56 : 8,106.66 = 3,782.04 : x
  2. Step 2: Convert to fraction form
    5,881.56/8,106.66 = 3,782.04/x
  3. Step 3: Cross multiply
    5,881.56x = 8,106.66 × 3,782.04
  4. Step 4: Simplify right side
    5,881.56x = 30,659,712.39
  5. Step 5: Solve for x
    x = 30,659,712.39/5,881.56
  6. Step 6: Final answer
    x = 5,212.85

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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.