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Finding the Fourth Proportional to 3,687.86, 5,534.10 and 1,496.60

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Solution

The fourth proportional to 3,687.86, 5,534.10 and 1,496.60 is: 2,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.86 : 5,534.10 = 1,496.60 : x
  2. Step 2: Convert to fraction form
    3,687.86/5,534.10 = 1,496.60/x
  3. Step 3: Cross multiply
    3,687.86x = 5,534.10 × 1,496.60
  4. Step 4: Simplify right side
    3,687.86x = 8,282,306.39
  5. Step 5: Solve for x
    x = 8,282,306.39/3,687.86
  6. Step 6: Final answer
    x = 2,245.83

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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.