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Finding the Fourth Proportional to 5,929.50, 8,893.98 and 1,546.86

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Solution

The fourth proportional to 5,929.50, 8,893.98 and 1,546.86 is: 2,320.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.50 : 8,893.98 = 1,546.86 : x
  2. Step 2: Convert to fraction form
    5,929.50/8,893.98 = 1,546.86/x
  3. Step 3: Cross multiply
    5,929.50x = 8,893.98 × 1,546.86
  4. Step 4: Simplify right side
    5,929.50x = 13,757,741.90
  5. Step 5: Solve for x
    x = 13,757,741.90/5,929.50
  6. Step 6: Final answer
    x = 2,320.22

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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.