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Finding the Fourth Proportional to 5,905.55, 8,147.13 and 3,780.56

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Solution

The fourth proportional to 5,905.55, 8,147.13 and 3,780.56 is: 5,215.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.55 : 8,147.13 = 3,780.56 : x
  2. Step 2: Convert to fraction form
    5,905.55/8,147.13 = 3,780.56/x
  3. Step 3: Cross multiply
    5,905.55x = 8,147.13 × 3,780.56
  4. Step 4: Simplify right side
    5,905.55x = 30,800,713.79
  5. Step 5: Solve for x
    x = 30,800,713.79/5,905.55
  6. Step 6: Final answer
    x = 5,215.55

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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.