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Finding the Fourth Proportional to 3,540.86, 5,308.83 and 1,690.68

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Solution

The fourth proportional to 3,540.86, 5,308.83 and 1,690.68 is: 2,534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.86 : 5,308.83 = 1,690.68 : x
  2. Step 2: Convert to fraction form
    3,540.86/5,308.83 = 1,690.68/x
  3. Step 3: Cross multiply
    3,540.86x = 5,308.83 × 1,690.68
  4. Step 4: Simplify right side
    3,540.86x = 8,975,532.70
  5. Step 5: Solve for x
    x = 8,975,532.70/3,540.86
  6. Step 6: Final answer
    x = 2,534.85

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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.