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Finding the Fourth Proportional to 6,596.53, 9,103.10 and 3,571.63

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Solution

The fourth proportional to 6,596.53, 9,103.10 and 3,571.63 is: 4,928.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.53 : 9,103.10 = 3,571.63 : x
  2. Step 2: Convert to fraction form
    6,596.53/9,103.10 = 3,571.63/x
  3. Step 3: Cross multiply
    6,596.53x = 9,103.10 × 3,571.63
  4. Step 4: Simplify right side
    6,596.53x = 32,512,879.34
  5. Step 5: Solve for x
    x = 32,512,879.34/6,596.53
  6. Step 6: Final answer
    x = 4,928.78

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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.