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Finding the Fourth Proportional to 4,127.46, 6,192.71 and 1,662.99

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Solution

The fourth proportional to 4,127.46, 6,192.71 and 1,662.99 is: 2,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127.46 : 6,192.71 = 1,662.99 : x
  2. Step 2: Convert to fraction form
    4,127.46/6,192.71 = 1,662.99/x
  3. Step 3: Cross multiply
    4,127.46x = 6,192.71 × 1,662.99
  4. Step 4: Simplify right side
    4,127.46x = 10,298,414.80
  5. Step 5: Solve for x
    x = 10,298,414.80/4,127.46
  6. Step 6: Final answer
    x = 2,495.10

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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.