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Finding the Fourth Proportional to 3,784.31, 5,220.28 and 2,419.02

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Solution

The fourth proportional to 3,784.31, 5,220.28 and 2,419.02 is: 3,336.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.31 : 5,220.28 = 2,419.02 : x
  2. Step 2: Convert to fraction form
    3,784.31/5,220.28 = 2,419.02/x
  3. Step 3: Cross multiply
    3,784.31x = 5,220.28 × 2,419.02
  4. Step 4: Simplify right side
    3,784.31x = 12,627,961.73
  5. Step 5: Solve for x
    x = 12,627,961.73/3,784.31
  6. Step 6: Final answer
    x = 3,336.93

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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.