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Finding the Fourth Proportional to 4,757.80, 7,133.16 and 2,290.30

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Solution

The fourth proportional to 4,757.80, 7,133.16 and 2,290.30 is: 3,433.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.80 : 7,133.16 = 2,290.30 : x
  2. Step 2: Convert to fraction form
    4,757.80/7,133.16 = 2,290.30/x
  3. Step 3: Cross multiply
    4,757.80x = 7,133.16 × 2,290.30
  4. Step 4: Simplify right side
    4,757.80x = 16,337,076.35
  5. Step 5: Solve for x
    x = 16,337,076.35/4,757.80
  6. Step 6: Final answer
    x = 3,433.75

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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.