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Finding the Fourth Proportional to 3,975.08, 5,491.14 and 3,780.68

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Solution

The fourth proportional to 3,975.08, 5,491.14 and 3,780.68 is: 5,222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.08 : 5,491.14 = 3,780.68 : x
  2. Step 2: Convert to fraction form
    3,975.08/5,491.14 = 3,780.68/x
  3. Step 3: Cross multiply
    3,975.08x = 5,491.14 × 3,780.68
  4. Step 4: Simplify right side
    3,975.08x = 20,760,243.18
  5. Step 5: Solve for x
    x = 20,760,243.18/3,975.08
  6. Step 6: Final answer
    x = 5,222.60

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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.