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Finding the Fourth Proportional to 5,746.44, 7,930 and 3,228.68

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Solution

The fourth proportional to 5,746.44, 7,930 and 3,228.68 is: 4,455.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.44 : 7,930 = 3,228.68 : x
  2. Step 2: Convert to fraction form
    5,746.44/7,930 = 3,228.68/x
  3. Step 3: Cross multiply
    5,746.44x = 7,930 × 3,228.68
  4. Step 4: Simplify right side
    5,746.44x = 25,603,432.40
  5. Step 5: Solve for x
    x = 25,603,432.40/5,746.44
  6. Step 6: Final answer
    x = 4,455.53

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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.