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Finding the Fourth Proportional to 5,234.96, 7,216.76 and 3,742.33

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Solution

The fourth proportional to 5,234.96, 7,216.76 and 3,742.33 is: 5,159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.96 : 7,216.76 = 3,742.33 : x
  2. Step 2: Convert to fraction form
    5,234.96/7,216.76 = 3,742.33/x
  3. Step 3: Cross multiply
    5,234.96x = 7,216.76 × 3,742.33
  4. Step 4: Simplify right side
    5,234.96x = 27,007,461.37
  5. Step 5: Solve for x
    x = 27,007,461.37/5,234.96
  6. Step 6: Final answer
    x = 5,159.06

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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.