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Finding the Fourth Proportional to 5,167.24, 7,751.37 and 1,656.37

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Solution

The fourth proportional to 5,167.24, 7,751.37 and 1,656.37 is: 2,484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.24 : 7,751.37 = 1,656.37 : x
  2. Step 2: Convert to fraction form
    5,167.24/7,751.37 = 1,656.37/x
  3. Step 3: Cross multiply
    5,167.24x = 7,751.37 × 1,656.37
  4. Step 4: Simplify right side
    5,167.24x = 12,839,097.97
  5. Step 5: Solve for x
    x = 12,839,097.97/5,167.24
  6. Step 6: Final answer
    x = 2,484.71

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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.