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Finding the Fourth Proportional to 5,883.80, 8,826 and 2,596.92

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Solution

The fourth proportional to 5,883.80, 8,826 and 2,596.92 is: 3,895.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.80 : 8,826 = 2,596.92 : x
  2. Step 2: Convert to fraction form
    5,883.80/8,826 = 2,596.92/x
  3. Step 3: Cross multiply
    5,883.80x = 8,826 × 2,596.92
  4. Step 4: Simplify right side
    5,883.80x = 22,920,415.92
  5. Step 5: Solve for x
    x = 22,920,415.92/5,883.80
  6. Step 6: Final answer
    x = 3,895.52

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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.