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Finding the Fourth Proportional to 5,171.76, 7,757.64 and 4,256.06

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Solution

The fourth proportional to 5,171.76, 7,757.64 and 4,256.06 is: 6,384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.76 : 7,757.64 = 4,256.06 : x
  2. Step 2: Convert to fraction form
    5,171.76/7,757.64 = 4,256.06/x
  3. Step 3: Cross multiply
    5,171.76x = 7,757.64 × 4,256.06
  4. Step 4: Simplify right side
    5,171.76x = 33,016,942.51
  5. Step 5: Solve for x
    x = 33,016,942.51/5,171.76
  6. Step 6: Final answer
    x = 6,384.08

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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.