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Finding the Fourth Proportional to 3,498.44, 4,828.84 and 2,304.30

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Solution

The fourth proportional to 3,498.44, 4,828.84 and 2,304.30 is: 3,180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.44 : 4,828.84 = 2,304.30 : x
  2. Step 2: Convert to fraction form
    3,498.44/4,828.84 = 2,304.30/x
  3. Step 3: Cross multiply
    3,498.44x = 4,828.84 × 2,304.30
  4. Step 4: Simplify right side
    3,498.44x = 11,127,087.68
  5. Step 5: Solve for x
    x = 11,127,087.68/3,498.44
  6. Step 6: Final answer
    x = 3,180.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.