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Finding the Fourth Proportional to 5,826.98, 8,733.17 and 4,589.50

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Solution

The fourth proportional to 5,826.98, 8,733.17 and 4,589.50 is: 6,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.98 : 8,733.17 = 4,589.50 : x
  2. Step 2: Convert to fraction form
    5,826.98/8,733.17 = 4,589.50/x
  3. Step 3: Cross multiply
    5,826.98x = 8,733.17 × 4,589.50
  4. Step 4: Simplify right side
    5,826.98x = 40,080,883.72
  5. Step 5: Solve for x
    x = 40,080,883.72/5,826.98
  6. Step 6: Final answer
    x = 6,878.50

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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.