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Finding the Fourth Proportional to 4,192.60, 6,288.90 and 4,127.80

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Solution

The fourth proportional to 4,192.60, 6,288.90 and 4,127.80 is: 6,191.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.60 : 6,288.90 = 4,127.80 : x
  2. Step 2: Convert to fraction form
    4,192.60/6,288.90 = 4,127.80/x
  3. Step 3: Cross multiply
    4,192.60x = 6,288.90 × 4,127.80
  4. Step 4: Simplify right side
    4,192.60x = 25,959,321.42
  5. Step 5: Solve for x
    x = 25,959,321.42/4,192.60
  6. Step 6: Final answer
    x = 6,191.70

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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.