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Finding the Fourth Proportional to 5,171.32, 7,756.96 and 1,523.32

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Solution

The fourth proportional to 5,171.32, 7,756.96 and 1,523.32 is: 2,284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.32 : 7,756.96 = 1,523.32 : x
  2. Step 2: Convert to fraction form
    5,171.32/7,756.96 = 1,523.32/x
  3. Step 3: Cross multiply
    5,171.32x = 7,756.96 × 1,523.32
  4. Step 4: Simplify right side
    5,171.32x = 11,816,332.31
  5. Step 5: Solve for x
    x = 11,816,332.31/5,171.32
  6. Step 6: Final answer
    x = 2,284.97

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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.