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Finding the Fourth Proportional to 5,719.50, 7,888.34 and 3,619.98

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Solution

The fourth proportional to 5,719.50, 7,888.34 and 3,619.98 is: 4,992.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.50 : 7,888.34 = 3,619.98 : x
  2. Step 2: Convert to fraction form
    5,719.50/7,888.34 = 3,619.98/x
  3. Step 3: Cross multiply
    5,719.50x = 7,888.34 × 3,619.98
  4. Step 4: Simplify right side
    5,719.50x = 28,555,614.93
  5. Step 5: Solve for x
    x = 28,555,614.93/5,719.50
  6. Step 6: Final answer
    x = 4,992.68

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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.