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Finding the Fourth Proportional to 4,840.78, 7,262.31 and 1,378.06

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Solution

The fourth proportional to 4,840.78, 7,262.31 and 1,378.06 is: 2,067.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,840.78 : 7,262.31 = 1,378.06 : x
  2. Step 2: Convert to fraction form
    4,840.78/7,262.31 = 1,378.06/x
  3. Step 3: Cross multiply
    4,840.78x = 7,262.31 × 1,378.06
  4. Step 4: Simplify right side
    4,840.78x = 10,007,898.92
  5. Step 5: Solve for x
    x = 10,007,898.92/4,840.78
  6. Step 6: Final answer
    x = 2,067.41

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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.