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Finding the Fourth Proportional to 5,746.80, 7,930.26 and 3,228.72

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Solution

The fourth proportional to 5,746.80, 7,930.26 and 3,228.72 is: 4,455.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.80 : 7,930.26 = 3,228.72 : x
  2. Step 2: Convert to fraction form
    5,746.80/7,930.26 = 3,228.72/x
  3. Step 3: Cross multiply
    5,746.80x = 7,930.26 × 3,228.72
  4. Step 4: Simplify right side
    5,746.80x = 25,604,589.07
  5. Step 5: Solve for x
    x = 25,604,589.07/5,746.80
  6. Step 6: Final answer
    x = 4,455.45

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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.