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Finding the Fourth Proportional to 5,253.93, 7,879.50 and 2,133

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Solution

The fourth proportional to 5,253.93, 7,879.50 and 2,133 is: 3,198.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.93 : 7,879.50 = 2,133 : x
  2. Step 2: Convert to fraction form
    5,253.93/7,879.50 = 2,133/x
  3. Step 3: Cross multiply
    5,253.93x = 7,879.50 × 2,133
  4. Step 4: Simplify right side
    5,253.93x = 16,806,973.50
  5. Step 5: Solve for x
    x = 16,806,973.50/5,253.93
  6. Step 6: Final answer
    x = 3,198.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.