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Finding the Fourth Proportional to 3,546.89, 5,322.14 and 1,598.66

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Solution

The fourth proportional to 3,546.89, 5,322.14 and 1,598.66 is: 2,398.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.89 : 5,322.14 = 1,598.66 : x
  2. Step 2: Convert to fraction form
    3,546.89/5,322.14 = 1,598.66/x
  3. Step 3: Cross multiply
    3,546.89x = 5,322.14 × 1,598.66
  4. Step 4: Simplify right side
    3,546.89x = 8,508,284.34
  5. Step 5: Solve for x
    x = 8,508,284.34/3,546.89
  6. Step 6: Final answer
    x = 2,398.80

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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.