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Finding the Fourth Proportional to 5,777.97, 7,973.55 and 3,260.05

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Solution

The fourth proportional to 5,777.97, 7,973.55 and 3,260.05 is: 4,498.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.97 : 7,973.55 = 3,260.05 : x
  2. Step 2: Convert to fraction form
    5,777.97/7,973.55 = 3,260.05/x
  3. Step 3: Cross multiply
    5,777.97x = 7,973.55 × 3,260.05
  4. Step 4: Simplify right side
    5,777.97x = 25,994,171.68
  5. Step 5: Solve for x
    x = 25,994,171.68/5,777.97
  6. Step 6: Final answer
    x = 4,498.84

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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.