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Finding the Fourth Proportional to 5,777.75, 7,973.10 and 3,259.94

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Solution

The fourth proportional to 5,777.75, 7,973.10 and 3,259.94 is: 4,498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.75 : 7,973.10 = 3,259.94 : x
  2. Step 2: Convert to fraction form
    5,777.75/7,973.10 = 3,259.94/x
  3. Step 3: Cross multiply
    5,777.75x = 7,973.10 × 3,259.94
  4. Step 4: Simplify right side
    5,777.75x = 25,991,787.75
  5. Step 5: Solve for x
    x = 25,991,787.75/5,777.75
  6. Step 6: Final answer
    x = 4,498.60

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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.