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Finding the Fourth Proportional to 5,167.26, 7,746.30 and 1,879.74

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Solution

The fourth proportional to 5,167.26, 7,746.30 and 1,879.74 is: 2,817.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.26 : 7,746.30 = 1,879.74 : x
  2. Step 2: Convert to fraction form
    5,167.26/7,746.30 = 1,879.74/x
  3. Step 3: Cross multiply
    5,167.26x = 7,746.30 × 1,879.74
  4. Step 4: Simplify right side
    5,167.26x = 14,561,029.96
  5. Step 5: Solve for x
    x = 14,561,029.96/5,167.26
  6. Step 6: Final answer
    x = 2,817.94

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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.