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Finding the Fourth Proportional to 4,701.56, 7,048.20 and 1,777.73

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Solution

The fourth proportional to 4,701.56, 7,048.20 and 1,777.73 is: 2,665.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.56 : 7,048.20 = 1,777.73 : x
  2. Step 2: Convert to fraction form
    4,701.56/7,048.20 = 1,777.73/x
  3. Step 3: Cross multiply
    4,701.56x = 7,048.20 × 1,777.73
  4. Step 4: Simplify right side
    4,701.56x = 12,529,796.59
  5. Step 5: Solve for x
    x = 12,529,796.59/4,701.56
  6. Step 6: Final answer
    x = 2,665.03

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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.