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Finding the Fourth Proportional to 3,773.66, 5,207.83 and 2,281.84

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Solution

The fourth proportional to 3,773.66, 5,207.83 and 2,281.84 is: 3,149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.66 : 5,207.83 = 2,281.84 : x
  2. Step 2: Convert to fraction form
    3,773.66/5,207.83 = 2,281.84/x
  3. Step 3: Cross multiply
    3,773.66x = 5,207.83 × 2,281.84
  4. Step 4: Simplify right side
    3,773.66x = 11,883,416.08
  5. Step 5: Solve for x
    x = 11,883,416.08/3,773.66
  6. Step 6: Final answer
    x = 3,149.05

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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.