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Finding the Fourth Proportional to 3,840,253.60, 5,760,380.40 and 3,784,266.40

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Solution

The fourth proportional to 3,840,253.60, 5,760,380.40 and 3,784,266.40 is: 5,676,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840,253.60 : 5,760,380.40 = 3,784,266.40 : x
  2. Step 2: Convert to fraction form
    3,840,253.60/5,760,380.40 = 3,784,266.40/x
  3. Step 3: Cross multiply
    3,840,253.60x = 5,760,380.40 × 3,784,266.40
  4. Step 4: Simplify right side
    3,840,253.60x = 21,798,813,998,938.56
  5. Step 5: Solve for x
    x = 21,798,813,998,938.56/3,840,253.60
  6. Step 6: Final answer
    x = 5,676,399.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.