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Finding the Fourth Proportional to 5,778.36, 7,973.82 and 3,260.47

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Solution

The fourth proportional to 5,778.36, 7,973.82 and 3,260.47 is: 4,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.36 : 7,973.82 = 3,260.47 : x
  2. Step 2: Convert to fraction form
    5,778.36/7,973.82 = 3,260.47/x
  3. Step 3: Cross multiply
    5,778.36x = 7,973.82 × 3,260.47
  4. Step 4: Simplify right side
    5,778.36x = 25,998,400.90
  5. Step 5: Solve for x
    x = 25,998,400.90/5,778.36
  6. Step 6: Final answer
    x = 4,499.27

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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.