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Finding the Fourth Proportional to 3,675.00, 5,071.52 and 1,996.44

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Solution

The fourth proportional to 3,675.00, 5,071.52 and 1,996.44 is: 2,755.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.00 : 5,071.52 = 1,996.44 : x
  2. Step 2: Convert to fraction form
    3,675.00/5,071.52 = 1,996.44/x
  3. Step 3: Cross multiply
    3,675.00x = 5,071.52 × 1,996.44
  4. Step 4: Simplify right side
    3,675.00x = 10,124,985.39
  5. Step 5: Solve for x
    x = 10,124,985.39/3,675.00
  6. Step 6: Final answer
    x = 2,755.10

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1.5x scale

Why These Related Problems?

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