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Finding the Fourth Proportional to 5,216.72, 7,811.37 and 4,381.73

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Solution

The fourth proportional to 5,216.72, 7,811.37 and 4,381.73 is: 6,561.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.72 : 7,811.37 = 4,381.73 : x
  2. Step 2: Convert to fraction form
    5,216.72/7,811.37 = 4,381.73/x
  3. Step 3: Cross multiply
    5,216.72x = 7,811.37 × 4,381.73
  4. Step 4: Simplify right side
    5,216.72x = 34,227,326.26
  5. Step 5: Solve for x
    x = 34,227,326.26/5,216.72
  6. Step 6: Final answer
    x = 6,561.08

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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.