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Finding the Fourth Proportional to 4,704.54, 7,058.67 and 1,783.62

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Solution

The fourth proportional to 4,704.54, 7,058.67 and 1,783.62 is: 2,676.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.54 : 7,058.67 = 1,783.62 : x
  2. Step 2: Convert to fraction form
    4,704.54/7,058.67 = 1,783.62/x
  3. Step 3: Cross multiply
    4,704.54x = 7,058.67 × 1,783.62
  4. Step 4: Simplify right side
    4,704.54x = 12,589,984.99
  5. Step 5: Solve for x
    x = 12,589,984.99/4,704.54
  6. Step 6: Final answer
    x = 2,676.14

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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.