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Finding the Fourth Proportional to 3,880.80, 5,820.63 and 1,247.96

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Solution

The fourth proportional to 3,880.80, 5,820.63 and 1,247.96 is: 1,871.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.80 : 5,820.63 = 1,247.96 : x
  2. Step 2: Convert to fraction form
    3,880.80/5,820.63 = 1,247.96/x
  3. Step 3: Cross multiply
    3,880.80x = 5,820.63 × 1,247.96
  4. Step 4: Simplify right side
    3,880.80x = 7,263,884.31
  5. Step 5: Solve for x
    x = 7,263,884.31/3,880.80
  6. Step 6: Final answer
    x = 1,871.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.