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Finding the Fourth Proportional to 4,907.82, 7,362.14 and 2,134.59

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Solution

The fourth proportional to 4,907.82, 7,362.14 and 2,134.59 is: 3,202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.82 : 7,362.14 = 2,134.59 : x
  2. Step 2: Convert to fraction form
    4,907.82/7,362.14 = 2,134.59/x
  3. Step 3: Cross multiply
    4,907.82x = 7,362.14 × 2,134.59
  4. Step 4: Simplify right side
    4,907.82x = 15,715,150.42
  5. Step 5: Solve for x
    x = 15,715,150.42/4,907.82
  6. Step 6: Final answer
    x = 3,202.06

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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.