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Finding the Fourth Proportional to 3,546.66, 5,319.93 and 1,597.48

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Solution

The fourth proportional to 3,546.66, 5,319.93 and 1,597.48 is: 2,396.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.66 : 5,319.93 = 1,597.48 : x
  2. Step 2: Convert to fraction form
    3,546.66/5,319.93 = 1,597.48/x
  3. Step 3: Cross multiply
    3,546.66x = 5,319.93 × 1,597.48
  4. Step 4: Simplify right side
    3,546.66x = 8,498,481.78
  5. Step 5: Solve for x
    x = 8,498,481.78/3,546.66
  6. Step 6: Final answer
    x = 2,396.19

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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.