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Finding the Fourth Proportional to 5,344.68, 8,018.28 and 1,646.84

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Solution

The fourth proportional to 5,344.68, 8,018.28 and 1,646.84 is: 2,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.68 : 8,018.28 = 1,646.84 : x
  2. Step 2: Convert to fraction form
    5,344.68/8,018.28 = 1,646.84/x
  3. Step 3: Cross multiply
    5,344.68x = 8,018.28 × 1,646.84
  4. Step 4: Simplify right side
    5,344.68x = 13,204,824.24
  5. Step 5: Solve for x
    x = 13,204,824.24/5,344.68
  6. Step 6: Final answer
    x = 2,470.65

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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.