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Finding the Fourth Proportional to 5,112.86, 7,663.01 and 2,646.27

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Solution

The fourth proportional to 5,112.86, 7,663.01 and 2,646.27 is: 3,966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112.86 : 7,663.01 = 2,646.27 : x
  2. Step 2: Convert to fraction form
    5,112.86/7,663.01 = 2,646.27/x
  3. Step 3: Cross multiply
    5,112.86x = 7,663.01 × 2,646.27
  4. Step 4: Simplify right side
    5,112.86x = 20,278,380.24
  5. Step 5: Solve for x
    x = 20,278,380.24/5,112.86
  6. Step 6: Final answer
    x = 3,966.16

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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.