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Finding the Fourth Proportional to 4,692.60, 7,033.86 and 1,921.14

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Solution

The fourth proportional to 4,692.60, 7,033.86 and 1,921.14 is: 2,879.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.60 : 7,033.86 = 1,921.14 : x
  2. Step 2: Convert to fraction form
    4,692.60/7,033.86 = 1,921.14/x
  3. Step 3: Cross multiply
    4,692.60x = 7,033.86 × 1,921.14
  4. Step 4: Simplify right side
    4,692.60x = 13,513,029.80
  5. Step 5: Solve for x
    x = 13,513,029.80/4,692.60
  6. Step 6: Final answer
    x = 2,879.65

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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.