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Finding the Fourth Proportional to 3,771.74, 5,649.24 and 2,306.46

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Solution

The fourth proportional to 3,771.74, 5,649.24 and 2,306.46 is: 3,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.74 : 5,649.24 = 2,306.46 : x
  2. Step 2: Convert to fraction form
    3,771.74/5,649.24 = 2,306.46/x
  3. Step 3: Cross multiply
    3,771.74x = 5,649.24 × 2,306.46
  4. Step 4: Simplify right side
    3,771.74x = 13,029,746.09
  5. Step 5: Solve for x
    x = 13,029,746.09/3,771.74
  6. Step 6: Final answer
    x = 3,454.57

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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.