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Finding the Fourth Proportional to 4,771.76, 6,549.90 and 4,236.08

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Solution

The fourth proportional to 4,771.76, 6,549.90 and 4,236.08 is: 5,814.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.76 : 6,549.90 = 4,236.08 : x
  2. Step 2: Convert to fraction form
    4,771.76/6,549.90 = 4,236.08/x
  3. Step 3: Cross multiply
    4,771.76x = 6,549.90 × 4,236.08
  4. Step 4: Simplify right side
    4,771.76x = 27,745,900.39
  5. Step 5: Solve for x
    x = 27,745,900.39/4,771.76
  6. Step 6: Final answer
    x = 5,814.61

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.