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Finding the Fourth Proportional to 3,775.50, 5,191.70 and 3,277.27

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Solution

The fourth proportional to 3,775.50, 5,191.70 and 3,277.27 is: 4,506.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.50 : 5,191.70 = 3,277.27 : x
  2. Step 2: Convert to fraction form
    3,775.50/5,191.70 = 3,277.27/x
  3. Step 3: Cross multiply
    3,775.50x = 5,191.70 × 3,277.27
  4. Step 4: Simplify right side
    3,775.50x = 17,014,560.31
  5. Step 5: Solve for x
    x = 17,014,560.31/3,775.50
  6. Step 6: Final answer
    x = 4,506.57

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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.