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Finding the Fourth Proportional to 4,704.56, 7,058.42 and 1,783.68

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Solution

The fourth proportional to 4,704.56, 7,058.42 and 1,783.68 is: 2,676.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.56 : 7,058.42 = 1,783.68 : x
  2. Step 2: Convert to fraction form
    4,704.56/7,058.42 = 1,783.68/x
  3. Step 3: Cross multiply
    4,704.56x = 7,058.42 × 1,783.68
  4. Step 4: Simplify right side
    4,704.56x = 12,589,962.59
  5. Step 5: Solve for x
    x = 12,589,962.59/4,704.56
  6. Step 6: Final answer
    x = 2,676.12

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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.