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Finding the Fourth Proportional to 3,128.64, 4,692.78 and 937.38

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Solution

The fourth proportional to 3,128.64, 4,692.78 and 937.38 is: 1,406.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.64 : 4,692.78 = 937.38 : x
  2. Step 2: Convert to fraction form
    3,128.64/4,692.78 = 937.38/x
  3. Step 3: Cross multiply
    3,128.64x = 4,692.78 × 937.38
  4. Step 4: Simplify right side
    3,128.64x = 4,398,918.12
  5. Step 5: Solve for x
    x = 4,398,918.12/3,128.64
  6. Step 6: Final answer
    x = 1,406.02

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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.