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Finding the Fourth Proportional to 3,807, 5,711.48 and 1,071

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Solution

The fourth proportional to 3,807, 5,711.48 and 1,071 is: 1,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807 : 5,711.48 = 1,071 : x
  2. Step 2: Convert to fraction form
    3,807/5,711.48 = 1,071/x
  3. Step 3: Cross multiply
    3,807x = 5,711.48 × 1,071
  4. Step 4: Simplify right side
    3,807x = 6,116,995.08
  5. Step 5: Solve for x
    x = 6,116,995.08/3,807
  6. Step 6: Final answer
    x = 1,606.78

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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.