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Finding the Fourth Proportional to 3,228.56, 4,456.28 and 3,032.54

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Solution

The fourth proportional to 3,228.56, 4,456.28 and 3,032.54 is: 4,185.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.56 : 4,456.28 = 3,032.54 : x
  2. Step 2: Convert to fraction form
    3,228.56/4,456.28 = 3,032.54/x
  3. Step 3: Cross multiply
    3,228.56x = 4,456.28 × 3,032.54
  4. Step 4: Simplify right side
    3,228.56x = 13,513,849.36
  5. Step 5: Solve for x
    x = 13,513,849.36/3,228.56
  6. Step 6: Final answer
    x = 4,185.72

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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.