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Finding the Fourth Proportional to 3,783.30, 5,676.78 and 1,704.78

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Solution

The fourth proportional to 3,783.30, 5,676.78 and 1,704.78 is: 2,557.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.30 : 5,676.78 = 1,704.78 : x
  2. Step 2: Convert to fraction form
    3,783.30/5,676.78 = 1,704.78/x
  3. Step 3: Cross multiply
    3,783.30x = 5,676.78 × 1,704.78
  4. Step 4: Simplify right side
    3,783.30x = 9,677,661.01
  5. Step 5: Solve for x
    x = 9,677,661.01/3,783.30
  6. Step 6: Final answer
    x = 2,557.99

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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.