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Finding the Fourth Proportional to 3,647.54, 5,033.48 and 2,135.43

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Solution

The fourth proportional to 3,647.54, 5,033.48 and 2,135.43 is: 2,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.54 : 5,033.48 = 2,135.43 : x
  2. Step 2: Convert to fraction form
    3,647.54/5,033.48 = 2,135.43/x
  3. Step 3: Cross multiply
    3,647.54x = 5,033.48 × 2,135.43
  4. Step 4: Simplify right side
    3,647.54x = 10,748,644.20
  5. Step 5: Solve for x
    x = 10,748,644.20/3,647.54
  6. Step 6: Final answer
    x = 2,946.82

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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.