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Finding the Fourth Proportional to 4,692.60, 6,469.20 and 2,923.02

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Solution

The fourth proportional to 4,692.60, 6,469.20 and 2,923.02 is: 4,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.60 : 6,469.20 = 2,923.02 : x
  2. Step 2: Convert to fraction form
    4,692.60/6,469.20 = 2,923.02/x
  3. Step 3: Cross multiply
    4,692.60x = 6,469.20 × 2,923.02
  4. Step 4: Simplify right side
    4,692.60x = 18,909,600.98
  5. Step 5: Solve for x
    x = 18,909,600.98/4,692.60
  6. Step 6: Final answer
    x = 4,029.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.