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Finding the Fourth Proportional to 3,692.48, 5,093.16 and 2,945.12

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Solution

The fourth proportional to 3,692.48, 5,093.16 and 2,945.12 is: 4,062.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.48 : 5,093.16 = 2,945.12 : x
  2. Step 2: Convert to fraction form
    3,692.48/5,093.16 = 2,945.12/x
  3. Step 3: Cross multiply
    3,692.48x = 5,093.16 × 2,945.12
  4. Step 4: Simplify right side
    3,692.48x = 14,999,967.38
  5. Step 5: Solve for x
    x = 14,999,967.38/3,692.48
  6. Step 6: Final answer
    x = 4,062.30

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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.