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Finding the Fourth Proportional to 3,840.72, 5,759.64 and 3,028.56

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Solution

The fourth proportional to 3,840.72, 5,759.64 and 3,028.56 is: 4,541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.72 : 5,759.64 = 3,028.56 : x
  2. Step 2: Convert to fraction form
    3,840.72/5,759.64 = 3,028.56/x
  3. Step 3: Cross multiply
    3,840.72x = 5,759.64 × 3,028.56
  4. Step 4: Simplify right side
    3,840.72x = 17,443,415.32
  5. Step 5: Solve for x
    x = 17,443,415.32/3,840.72
  6. Step 6: Final answer
    x = 4,541.70

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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.