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Finding the Fourth Proportional to 6,449.85, 8,880.94 and 5,648.56

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Solution

The fourth proportional to 6,449.85, 8,880.94 and 5,648.56 is: 7,777.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.85 : 8,880.94 = 5,648.56 : x
  2. Step 2: Convert to fraction form
    6,449.85/8,880.94 = 5,648.56/x
  3. Step 3: Cross multiply
    6,449.85x = 8,880.94 × 5,648.56
  4. Step 4: Simplify right side
    6,449.85x = 50,164,508.33
  5. Step 5: Solve for x
    x = 50,164,508.33/6,449.85
  6. Step 6: Final answer
    x = 7,777.62

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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.