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Finding the Fourth Proportional to 5,208.45, 7,812.68 and 2,610.78

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Solution

The fourth proportional to 5,208.45, 7,812.68 and 2,610.78 is: 3,916.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.45 : 7,812.68 = 2,610.78 : x
  2. Step 2: Convert to fraction form
    5,208.45/7,812.68 = 2,610.78/x
  3. Step 3: Cross multiply
    5,208.45x = 7,812.68 × 2,610.78
  4. Step 4: Simplify right side
    5,208.45x = 20,397,175.64
  5. Step 5: Solve for x
    x = 20,397,175.64/5,208.45
  6. Step 6: Final answer
    x = 3,916.17

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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.