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Finding the Fourth Proportional to 3,546.64, 5,323.68 and 1,699.30

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Solution

The fourth proportional to 3,546.64, 5,323.68 and 1,699.30 is: 2,550.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.64 : 5,323.68 = 1,699.30 : x
  2. Step 2: Convert to fraction form
    3,546.64/5,323.68 = 1,699.30/x
  3. Step 3: Cross multiply
    3,546.64x = 5,323.68 × 1,699.30
  4. Step 4: Simplify right side
    3,546.64x = 9,046,529.42
  5. Step 5: Solve for x
    x = 9,046,529.42/3,546.64
  6. Step 6: Final answer
    x = 2,550.73

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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.