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Finding the Fourth Proportional to 4,692.10, 6,475.02 and 2,596.18

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Solution

The fourth proportional to 4,692.10, 6,475.02 and 2,596.18 is: 3,582.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.10 : 6,475.02 = 2,596.18 : x
  2. Step 2: Convert to fraction form
    4,692.10/6,475.02 = 2,596.18/x
  3. Step 3: Cross multiply
    4,692.10x = 6,475.02 × 2,596.18
  4. Step 4: Simplify right side
    4,692.10x = 16,810,317.42
  5. Step 5: Solve for x
    x = 16,810,317.42/4,692.10
  6. Step 6: Final answer
    x = 3,582.69

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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.