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Finding the Fourth Proportional to 4,692.56, 7,038.84 and 3,227.28

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Solution

The fourth proportional to 4,692.56, 7,038.84 and 3,227.28 is: 4,840.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.56 : 7,038.84 = 3,227.28 : x
  2. Step 2: Convert to fraction form
    4,692.56/7,038.84 = 3,227.28/x
  3. Step 3: Cross multiply
    4,692.56x = 7,038.84 × 3,227.28
  4. Step 4: Simplify right side
    4,692.56x = 22,716,307.56
  5. Step 5: Solve for x
    x = 22,716,307.56/4,692.56
  6. Step 6: Final answer
    x = 4,840.92

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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.