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Finding the Fourth Proportional to 5,116.66, 7,665.03 and 2,647.78

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Solution

The fourth proportional to 5,116.66, 7,665.03 and 2,647.78 is: 3,966.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.66 : 7,665.03 = 2,647.78 : x
  2. Step 2: Convert to fraction form
    5,116.66/7,665.03 = 2,647.78/x
  3. Step 3: Cross multiply
    5,116.66x = 7,665.03 × 2,647.78
  4. Step 4: Simplify right side
    5,116.66x = 20,295,313.13
  5. Step 5: Solve for x
    x = 20,295,313.13/5,116.66
  6. Step 6: Final answer
    x = 3,966.52

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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.