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Finding the Fourth Proportional to 5,234, 7,216.52 and 4,111.44

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Solution

The fourth proportional to 5,234, 7,216.52 and 4,111.44 is: 5,668.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234 : 7,216.52 = 4,111.44 : x
  2. Step 2: Convert to fraction form
    5,234/7,216.52 = 4,111.44/x
  3. Step 3: Cross multiply
    5,234x = 7,216.52 × 4,111.44
  4. Step 4: Simplify right side
    5,234x = 29,670,288.99
  5. Step 5: Solve for x
    x = 29,670,288.99/5,234
  6. Step 6: Final answer
    x = 5,668.76

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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.