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Finding the Fourth Proportional to 3,546.88, 5,322.48 and 1,599.28

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Solution

The fourth proportional to 3,546.88, 5,322.48 and 1,599.28 is: 2,399.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.88 : 5,322.48 = 1,599.28 : x
  2. Step 2: Convert to fraction form
    3,546.88/5,322.48 = 1,599.28/x
  3. Step 3: Cross multiply
    3,546.88x = 5,322.48 × 1,599.28
  4. Step 4: Simplify right side
    3,546.88x = 8,512,135.81
  5. Step 5: Solve for x
    x = 8,512,135.81/3,546.88
  6. Step 6: Final answer
    x = 2,399.89

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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.