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Finding the Fourth Proportional to 6,304.38, 8,692.29 and 4,066.26

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Solution

The fourth proportional to 6,304.38, 8,692.29 and 4,066.26 is: 5,606.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.38 : 8,692.29 = 4,066.26 : x
  2. Step 2: Convert to fraction form
    6,304.38/8,692.29 = 4,066.26/x
  3. Step 3: Cross multiply
    6,304.38x = 8,692.29 × 4,066.26
  4. Step 4: Simplify right side
    6,304.38x = 35,345,111.14
  5. Step 5: Solve for x
    x = 35,345,111.14/6,304.38
  6. Step 6: Final answer
    x = 5,606.44

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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.