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Finding the Fourth Proportional to 5,167.49, 7,751.75 and 1,656.62

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Solution

The fourth proportional to 5,167.49, 7,751.75 and 1,656.62 is: 2,485.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.49 : 7,751.75 = 1,656.62 : x
  2. Step 2: Convert to fraction form
    5,167.49/7,751.75 = 1,656.62/x
  3. Step 3: Cross multiply
    5,167.49x = 7,751.75 × 1,656.62
  4. Step 4: Simplify right side
    5,167.49x = 12,841,657.04
  5. Step 5: Solve for x
    x = 12,841,657.04/5,167.49
  6. Step 6: Final answer
    x = 2,485.09

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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.