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Finding the Fourth Proportional to 4,467.86, 6,692.04 and 2,154.50

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Solution

The fourth proportional to 4,467.86, 6,692.04 and 2,154.50 is: 3,227.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467.86 : 6,692.04 = 2,154.50 : x
  2. Step 2: Convert to fraction form
    4,467.86/6,692.04 = 2,154.50/x
  3. Step 3: Cross multiply
    4,467.86x = 6,692.04 × 2,154.50
  4. Step 4: Simplify right side
    4,467.86x = 14,418,000.18
  5. Step 5: Solve for x
    x = 14,418,000.18/4,467.86
  6. Step 6: Final answer
    x = 3,227.05

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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.