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Finding the Fourth Proportional to 4,692.75, 6,475.92 and 2,596.88

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Solution

The fourth proportional to 4,692.75, 6,475.92 and 2,596.88 is: 3,583.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.75 : 6,475.92 = 2,596.88 : x
  2. Step 2: Convert to fraction form
    4,692.75/6,475.92 = 2,596.88/x
  3. Step 3: Cross multiply
    4,692.75x = 6,475.92 × 2,596.88
  4. Step 4: Simplify right side
    4,692.75x = 16,817,154.75
  5. Step 5: Solve for x
    x = 16,817,154.75/4,692.75
  6. Step 6: Final answer
    x = 3,583.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.