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Finding the Fourth Proportional to 4,692.25, 6,475.35 and 2,596.42

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Solution

The fourth proportional to 4,692.25, 6,475.35 and 2,596.42 is: 3,583.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.25 : 6,475.35 = 2,596.42 : x
  2. Step 2: Convert to fraction form
    4,692.25/6,475.35 = 2,596.42/x
  3. Step 3: Cross multiply
    4,692.25x = 6,475.35 × 2,596.42
  4. Step 4: Simplify right side
    4,692.25x = 16,812,728.25
  5. Step 5: Solve for x
    x = 16,812,728.25/4,692.25
  6. Step 6: Final answer
    x = 3,583.08

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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.