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Finding the Fourth Proportional to 5,745.28, 7,929.28 and 3,507.20

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Solution

The fourth proportional to 5,745.28, 7,929.28 and 3,507.20 is: 4,840.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.28 : 7,929.28 = 3,507.20 : x
  2. Step 2: Convert to fraction form
    5,745.28/7,929.28 = 3,507.20/x
  3. Step 3: Cross multiply
    5,745.28x = 7,929.28 × 3,507.20
  4. Step 4: Simplify right side
    5,745.28x = 27,809,570.82
  5. Step 5: Solve for x
    x = 27,809,570.82/5,745.28
  6. Step 6: Final answer
    x = 4,840.42

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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.