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Finding the Fourth Proportional to 3,507, 5,260.52 and 1,198.52

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Solution

The fourth proportional to 3,507, 5,260.52 and 1,198.52 is: 1,797.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507 : 5,260.52 = 1,198.52 : x
  2. Step 2: Convert to fraction form
    3,507/5,260.52 = 1,198.52/x
  3. Step 3: Cross multiply
    3,507x = 5,260.52 × 1,198.52
  4. Step 4: Simplify right side
    3,507x = 6,304,838.43
  5. Step 5: Solve for x
    x = 6,304,838.43/3,507
  6. Step 6: Final answer
    x = 1,797.79

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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.