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Finding the Fourth Proportional to 3,765.88, 5,198.70 and 2,509.03

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Solution

The fourth proportional to 3,765.88, 5,198.70 and 2,509.03 is: 3,463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.88 : 5,198.70 = 2,509.03 : x
  2. Step 2: Convert to fraction form
    3,765.88/5,198.70 = 2,509.03/x
  3. Step 3: Cross multiply
    3,765.88x = 5,198.70 × 2,509.03
  4. Step 4: Simplify right side
    3,765.88x = 13,043,694.26
  5. Step 5: Solve for x
    x = 13,043,694.26/3,765.88
  6. Step 6: Final answer
    x = 3,463.65

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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.