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Finding the Fourth Proportional to 5,263.99, 7,889.15 and 2,140.36

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Solution

The fourth proportional to 5,263.99, 7,889.15 and 2,140.36 is: 3,207.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.99 : 7,889.15 = 2,140.36 : x
  2. Step 2: Convert to fraction form
    5,263.99/7,889.15 = 2,140.36/x
  3. Step 3: Cross multiply
    5,263.99x = 7,889.15 × 2,140.36
  4. Step 4: Simplify right side
    5,263.99x = 16,885,606.72
  5. Step 5: Solve for x
    x = 16,885,606.72/5,263.99
  6. Step 6: Final answer
    x = 3,207.76

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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.