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Finding the Fourth Proportional to 5,206.89, 7,810.75 and 1,696.83

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Solution

The fourth proportional to 5,206.89, 7,810.75 and 1,696.83 is: 2,545.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.89 : 7,810.75 = 1,696.83 : x
  2. Step 2: Convert to fraction form
    5,206.89/7,810.75 = 1,696.83/x
  3. Step 3: Cross multiply
    5,206.89x = 7,810.75 × 1,696.83
  4. Step 4: Simplify right side
    5,206.89x = 13,253,487.75
  5. Step 5: Solve for x
    x = 13,253,487.75/5,206.89
  6. Step 6: Final answer
    x = 2,545.37

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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.