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Finding the Fourth Proportional to 5,127.12, 7,076.68 and 3,138

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Solution

The fourth proportional to 5,127.12, 7,076.68 and 3,138 is: 4,331.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,127.12 : 7,076.68 = 3,138 : x
  2. Step 2: Convert to fraction form
    5,127.12/7,076.68 = 3,138/x
  3. Step 3: Cross multiply
    5,127.12x = 7,076.68 × 3,138
  4. Step 4: Simplify right side
    5,127.12x = 22,206,621.84
  5. Step 5: Solve for x
    x = 22,206,621.84/5,127.12
  6. Step 6: Final answer
    x = 4,331.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.