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Finding the Fourth Proportional to 4,127.65, 6,191.40 and 1,662.41

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Solution

The fourth proportional to 4,127.65, 6,191.40 and 1,662.41 is: 2,493.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127.65 : 6,191.40 = 1,662.41 : x
  2. Step 2: Convert to fraction form
    4,127.65/6,191.40 = 1,662.41/x
  3. Step 3: Cross multiply
    4,127.65x = 6,191.40 × 1,662.41
  4. Step 4: Simplify right side
    4,127.65x = 10,292,614.32
  5. Step 5: Solve for x
    x = 10,292,614.32/4,127.65
  6. Step 6: Final answer
    x = 2,493.58

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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.