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Finding the Fourth Proportional to 3,781.76, 5,219.64 and 2,103.74

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Solution

The fourth proportional to 3,781.76, 5,219.64 and 2,103.74 is: 2,903.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.76 : 5,219.64 = 2,103.74 : x
  2. Step 2: Convert to fraction form
    3,781.76/5,219.64 = 2,103.74/x
  3. Step 3: Cross multiply
    3,781.76x = 5,219.64 × 2,103.74
  4. Step 4: Simplify right side
    3,781.76x = 10,980,765.45
  5. Step 5: Solve for x
    x = 10,980,765.45/3,781.76
  6. Step 6: Final answer
    x = 2,903.61

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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.