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Finding the Fourth Proportional to 3,463.60, 5,190.54 and 2,596.96

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Solution

The fourth proportional to 3,463.60, 5,190.54 and 2,596.96 is: 3,891.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.60 : 5,190.54 = 2,596.96 : x
  2. Step 2: Convert to fraction form
    3,463.60/5,190.54 = 2,596.96/x
  3. Step 3: Cross multiply
    3,463.60x = 5,190.54 × 2,596.96
  4. Step 4: Simplify right side
    3,463.60x = 13,479,624.76
  5. Step 5: Solve for x
    x = 13,479,624.76/3,463.60
  6. Step 6: Final answer
    x = 3,891.80

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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.