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Finding the Fourth Proportional to 4,692.46, 6,475.80 and 2,596.58

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Solution

The fourth proportional to 4,692.46, 6,475.80 and 2,596.58 is: 3,583.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.46 : 6,475.80 = 2,596.58 : x
  2. Step 2: Convert to fraction form
    4,692.46/6,475.80 = 2,596.58/x
  3. Step 3: Cross multiply
    4,692.46x = 6,475.80 × 2,596.58
  4. Step 4: Simplify right side
    4,692.46x = 16,814,919.78
  5. Step 5: Solve for x
    x = 16,814,919.78/4,692.46
  6. Step 6: Final answer
    x = 3,583.39

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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.