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Finding the Fourth Proportional to 3,648.22, 5,033.37 and 2,156.64

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Solution

The fourth proportional to 3,648.22, 5,033.37 and 2,156.64 is: 2,975.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.22 : 5,033.37 = 2,156.64 : x
  2. Step 2: Convert to fraction form
    3,648.22/5,033.37 = 2,156.64/x
  3. Step 3: Cross multiply
    3,648.22x = 5,033.37 × 2,156.64
  4. Step 4: Simplify right side
    3,648.22x = 10,855,167.08
  5. Step 5: Solve for x
    x = 10,855,167.08/3,648.22
  6. Step 6: Final answer
    x = 2,975.47

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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.