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Finding the Fourth Proportional to 3,798.42, 5,700.20 and 1,333.26

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Solution

The fourth proportional to 3,798.42, 5,700.20 and 1,333.26 is: 2,000.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.42 : 5,700.20 = 1,333.26 : x
  2. Step 2: Convert to fraction form
    3,798.42/5,700.20 = 1,333.26/x
  3. Step 3: Cross multiply
    3,798.42x = 5,700.20 × 1,333.26
  4. Step 4: Simplify right side
    3,798.42x = 7,599,848.65
  5. Step 5: Solve for x
    x = 7,599,848.65/3,798.42
  6. Step 6: Final answer
    x = 2,000.79

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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.