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Finding the Fourth Proportional to 3,546.46, 5,320.54 and 1,598.66

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Solution

The fourth proportional to 3,546.46, 5,320.54 and 1,598.66 is: 2,398.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.46 : 5,320.54 = 1,598.66 : x
  2. Step 2: Convert to fraction form
    3,546.46/5,320.54 = 1,598.66/x
  3. Step 3: Cross multiply
    3,546.46x = 5,320.54 × 1,598.66
  4. Step 4: Simplify right side
    3,546.46x = 8,505,729.82
  5. Step 5: Solve for x
    x = 8,505,729.82/3,546.46
  6. Step 6: Final answer
    x = 2,398.37

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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.