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Finding the Fourth Proportional to 3,773.64, 5,206.60 and 2,282.40

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Solution

The fourth proportional to 3,773.64, 5,206.60 and 2,282.40 is: 3,149.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.64 : 5,206.60 = 2,282.40 : x
  2. Step 2: Convert to fraction form
    3,773.64/5,206.60 = 2,282.40/x
  3. Step 3: Cross multiply
    3,773.64x = 5,206.60 × 2,282.40
  4. Step 4: Simplify right side
    3,773.64x = 11,883,543.84
  5. Step 5: Solve for x
    x = 11,883,543.84/3,773.64
  6. Step 6: Final answer
    x = 3,149.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.