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Finding the Fourth Proportional to 4,771.24, 7,159.26 and 3,229

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Solution

The fourth proportional to 4,771.24, 7,159.26 and 3,229 is: 4,845.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.24 : 7,159.26 = 3,229 : x
  2. Step 2: Convert to fraction form
    4,771.24/7,159.26 = 3,229/x
  3. Step 3: Cross multiply
    4,771.24x = 7,159.26 × 3,229
  4. Step 4: Simplify right side
    4,771.24x = 23,117,250.54
  5. Step 5: Solve for x
    x = 23,117,250.54/4,771.24
  6. Step 6: Final answer
    x = 4,845.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.