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Finding the Fourth Proportional to 6,229.77, 8,596.76 and 3,540.63

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Solution

The fourth proportional to 6,229.77, 8,596.76 and 3,540.63 is: 4,885.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.77 : 8,596.76 = 3,540.63 : x
  2. Step 2: Convert to fraction form
    6,229.77/8,596.76 = 3,540.63/x
  3. Step 3: Cross multiply
    6,229.77x = 8,596.76 × 3,540.63
  4. Step 4: Simplify right side
    6,229.77x = 30,437,946.36
  5. Step 5: Solve for x
    x = 30,437,946.36/6,229.77
  6. Step 6: Final answer
    x = 4,885.89

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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.