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Finding the Fourth Proportional to 3,773.42, 5,207.48 and 2,072.00

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Solution

The fourth proportional to 3,773.42, 5,207.48 and 2,072.00 is: 2,859.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.42 : 5,207.48 = 2,072.00 : x
  2. Step 2: Convert to fraction form
    3,773.42/5,207.48 = 2,072.00/x
  3. Step 3: Cross multiply
    3,773.42x = 5,207.48 × 2,072.00
  4. Step 4: Simplify right side
    3,773.42x = 10,789,862.16
  5. Step 5: Solve for x
    x = 10,789,862.16/3,773.42
  6. Step 6: Final answer
    x = 2,859.44

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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.