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Finding the Fourth Proportional to 3,800.46, 5,700.74 and 1,335.36

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Solution

The fourth proportional to 3,800.46, 5,700.74 and 1,335.36 is: 2,003.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.46 : 5,700.74 = 1,335.36 : x
  2. Step 2: Convert to fraction form
    3,800.46/5,700.74 = 1,335.36/x
  3. Step 3: Cross multiply
    3,800.46x = 5,700.74 × 1,335.36
  4. Step 4: Simplify right side
    3,800.46x = 7,612,540.17
  5. Step 5: Solve for x
    x = 7,612,540.17/3,800.46
  6. Step 6: Final answer
    x = 2,003.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.