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Finding the Fourth Proportional to 5,546.64, 8,319.42 and 1,651.08

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Solution

The fourth proportional to 5,546.64, 8,319.42 and 1,651.08 is: 2,476.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.64 : 8,319.42 = 1,651.08 : x
  2. Step 2: Convert to fraction form
    5,546.64/8,319.42 = 1,651.08/x
  3. Step 3: Cross multiply
    5,546.64x = 8,319.42 × 1,651.08
  4. Step 4: Simplify right side
    5,546.64x = 13,736,027.97
  5. Step 5: Solve for x
    x = 13,736,027.97/5,546.64
  6. Step 6: Final answer
    x = 2,476.46

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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.