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Finding the Fourth Proportional to 4,601.96, 6,889.62 and 4,127.12

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Solution

The fourth proportional to 4,601.96, 6,889.62 and 4,127.12 is: 6,178.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.96 : 6,889.62 = 4,127.12 : x
  2. Step 2: Convert to fraction form
    4,601.96/6,889.62 = 4,127.12/x
  3. Step 3: Cross multiply
    4,601.96x = 6,889.62 × 4,127.12
  4. Step 4: Simplify right side
    4,601.96x = 28,434,288.49
  5. Step 5: Solve for x
    x = 28,434,288.49/4,601.96
  6. Step 6: Final answer
    x = 6,178.73

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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.