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Finding the Fourth Proportional to 5,833.94, 8,751 and 1,451.43

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Solution

The fourth proportional to 5,833.94, 8,751 and 1,451.43 is: 2,177.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.94 : 8,751 = 1,451.43 : x
  2. Step 2: Convert to fraction form
    5,833.94/8,751 = 1,451.43/x
  3. Step 3: Cross multiply
    5,833.94x = 8,751 × 1,451.43
  4. Step 4: Simplify right side
    5,833.94x = 12,701,463.93
  5. Step 5: Solve for x
    x = 12,701,463.93/5,833.94
  6. Step 6: Final answer
    x = 2,177.17

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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.