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Finding the Fourth Proportional to 4,260.14, 5,870.21 and 4,202.73

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Solution

The fourth proportional to 4,260.14, 5,870.21 and 4,202.73 is: 5,791.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,260.14 : 5,870.21 = 4,202.73 : x
  2. Step 2: Convert to fraction form
    4,260.14/5,870.21 = 4,202.73/x
  3. Step 3: Cross multiply
    4,260.14x = 5,870.21 × 4,202.73
  4. Step 4: Simplify right side
    4,260.14x = 24,670,907.67
  5. Step 5: Solve for x
    x = 24,670,907.67/4,260.14
  6. Step 6: Final answer
    x = 5,791.10

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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.