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Finding the Fourth Proportional to 4,833.80, 7,241.10 and 2,880.20

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Solution

The fourth proportional to 4,833.80, 7,241.10 and 2,880.20 is: 4,314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.80 : 7,241.10 = 2,880.20 : x
  2. Step 2: Convert to fraction form
    4,833.80/7,241.10 = 2,880.20/x
  3. Step 3: Cross multiply
    4,833.80x = 7,241.10 × 2,880.20
  4. Step 4: Simplify right side
    4,833.80x = 20,855,816.22
  5. Step 5: Solve for x
    x = 20,855,816.22/4,833.80
  6. Step 6: Final answer
    x = 4,314.58

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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.