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Finding the Fourth Proportional to 5,764.50, 7,954.34 and 3,246.89

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Solution

The fourth proportional to 5,764.50, 7,954.34 and 3,246.89 is: 4,480.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.50 : 7,954.34 = 3,246.89 : x
  2. Step 2: Convert to fraction form
    5,764.50/7,954.34 = 3,246.89/x
  3. Step 3: Cross multiply
    5,764.50x = 7,954.34 × 3,246.89
  4. Step 4: Simplify right side
    5,764.50x = 25,826,811.00
  5. Step 5: Solve for x
    x = 25,826,811.00/5,764.50
  6. Step 6: Final answer
    x = 4,480.32

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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.