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Finding the Fourth Proportional to 3,498.64, 5,247.97 and 1,418.68

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Solution

The fourth proportional to 3,498.64, 5,247.97 and 1,418.68 is: 2,128.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.64 : 5,247.97 = 1,418.68 : x
  2. Step 2: Convert to fraction form
    3,498.64/5,247.97 = 1,418.68/x
  3. Step 3: Cross multiply
    3,498.64x = 5,247.97 × 1,418.68
  4. Step 4: Simplify right side
    3,498.64x = 7,445,190.08
  5. Step 5: Solve for x
    x = 7,445,190.08/3,498.64
  6. Step 6: Final answer
    x = 2,128.02

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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.