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Finding the Fourth Proportional to 5,973.75, 8,961.84 and 2,511

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Solution

The fourth proportional to 5,973.75, 8,961.84 and 2,511 is: 3,767.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.75 : 8,961.84 = 2,511 : x
  2. Step 2: Convert to fraction form
    5,973.75/8,961.84 = 2,511/x
  3. Step 3: Cross multiply
    5,973.75x = 8,961.84 × 2,511
  4. Step 4: Simplify right side
    5,973.75x = 22,503,180.24
  5. Step 5: Solve for x
    x = 22,503,180.24/5,973.75
  6. Step 6: Final answer
    x = 3,767.01

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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.