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Finding the Fourth Proportional to 3,687.98, 5,532.87 and 1,090.94

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Solution

The fourth proportional to 3,687.98, 5,532.87 and 1,090.94 is: 1,636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.98 : 5,532.87 = 1,090.94 : x
  2. Step 2: Convert to fraction form
    3,687.98/5,532.87 = 1,090.94/x
  3. Step 3: Cross multiply
    3,687.98x = 5,532.87 × 1,090.94
  4. Step 4: Simplify right side
    3,687.98x = 6,036,029.20
  5. Step 5: Solve for x
    x = 6,036,029.20/3,687.98
  6. Step 6: Final answer
    x = 1,636.68

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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.