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Finding the Fourth Proportional to 5,833.67, 8,747.97 and 1,672.76

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Solution

The fourth proportional to 5,833.67, 8,747.97 and 1,672.76 is: 2,508.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.67 : 8,747.97 = 1,672.76 : x
  2. Step 2: Convert to fraction form
    5,833.67/8,747.97 = 1,672.76/x
  3. Step 3: Cross multiply
    5,833.67x = 8,747.97 × 1,672.76
  4. Step 4: Simplify right side
    5,833.67x = 14,633,254.30
  5. Step 5: Solve for x
    x = 14,633,254.30/5,833.67
  6. Step 6: Final answer
    x = 2,508.41

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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.