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Finding the Fourth Proportional to 3,697.98, 5,548.41 and 2,056.38

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Solution

The fourth proportional to 3,697.98, 5,548.41 and 2,056.38 is: 3,085.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.98 : 5,548.41 = 2,056.38 : x
  2. Step 2: Convert to fraction form
    3,697.98/5,548.41 = 2,056.38/x
  3. Step 3: Cross multiply
    3,697.98x = 5,548.41 × 2,056.38
  4. Step 4: Simplify right side
    3,697.98x = 11,409,639.36
  5. Step 5: Solve for x
    x = 11,409,639.36/3,697.98
  6. Step 6: Final answer
    x = 3,085.37

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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.