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Finding the Fourth Proportional to 4,039.38, 6,056 and 2,090.34

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Solution

The fourth proportional to 4,039.38, 6,056 and 2,090.34 is: 3,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,039.38 : 6,056 = 2,090.34 : x
  2. Step 2: Convert to fraction form
    4,039.38/6,056 = 2,090.34/x
  3. Step 3: Cross multiply
    4,039.38x = 6,056 × 2,090.34
  4. Step 4: Simplify right side
    4,039.38x = 12,659,099.04
  5. Step 5: Solve for x
    x = 12,659,099.04/4,039.38
  6. Step 6: Final answer
    x = 3,133.92

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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.