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Finding the Fourth Proportional to 5,108.68, 7,663.18 and 1,646.28

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Solution

The fourth proportional to 5,108.68, 7,663.18 and 1,646.28 is: 2,469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.68 : 7,663.18 = 1,646.28 : x
  2. Step 2: Convert to fraction form
    5,108.68/7,663.18 = 1,646.28/x
  3. Step 3: Cross multiply
    5,108.68x = 7,663.18 × 1,646.28
  4. Step 4: Simplify right side
    5,108.68x = 12,615,739.97
  5. Step 5: Solve for x
    x = 12,615,739.97/5,108.68
  6. Step 6: Final answer
    x = 2,469.47

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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.