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Finding the Fourth Proportional to 3,642.94, 5,026.96 and 2,150.92

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Solution

The fourth proportional to 3,642.94, 5,026.96 and 2,150.92 is: 2,968.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.94 : 5,026.96 = 2,150.92 : x
  2. Step 2: Convert to fraction form
    3,642.94/5,026.96 = 2,150.92/x
  3. Step 3: Cross multiply
    3,642.94x = 5,026.96 × 2,150.92
  4. Step 4: Simplify right side
    3,642.94x = 10,812,588.80
  5. Step 5: Solve for x
    x = 10,812,588.80/3,642.94
  6. Step 6: Final answer
    x = 2,968.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.