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Finding the Fourth Proportional to 4,692.36, 7,017.84 and 4,175.76

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Solution

The fourth proportional to 4,692.36, 7,017.84 and 4,175.76 is: 6,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.36 : 7,017.84 = 4,175.76 : x
  2. Step 2: Convert to fraction form
    4,692.36/7,017.84 = 4,175.76/x
  3. Step 3: Cross multiply
    4,692.36x = 7,017.84 × 4,175.76
  4. Step 4: Simplify right side
    4,692.36x = 29,304,815.56
  5. Step 5: Solve for x
    x = 29,304,815.56/4,692.36
  6. Step 6: Final answer
    x = 6,245.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.