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Finding the Fourth Proportional to 3,773.50, 5,207.43 and 2,301.50

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Solution

The fourth proportional to 3,773.50, 5,207.43 and 2,301.50 is: 3,176.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.50 : 5,207.43 = 2,301.50 : x
  2. Step 2: Convert to fraction form
    3,773.50/5,207.43 = 2,301.50/x
  3. Step 3: Cross multiply
    3,773.50x = 5,207.43 × 2,301.50
  4. Step 4: Simplify right side
    3,773.50x = 11,984,900.15
  5. Step 5: Solve for x
    x = 11,984,900.15/3,773.50
  6. Step 6: Final answer
    x = 3,176.07

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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.