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Finding the Fourth Proportional to 5,746.12, 7,930.28 and 3,228.88

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Solution

The fourth proportional to 5,746.12, 7,930.28 and 3,228.88 is: 4,456.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.12 : 7,930.28 = 3,228.88 : x
  2. Step 2: Convert to fraction form
    5,746.12/7,930.28 = 3,228.88/x
  3. Step 3: Cross multiply
    5,746.12x = 7,930.28 × 3,228.88
  4. Step 4: Simplify right side
    5,746.12x = 25,605,922.49
  5. Step 5: Solve for x
    x = 25,605,922.49/5,746.12
  6. Step 6: Final answer
    x = 4,456.21

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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.