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Finding the Fourth Proportional to 6,202.58, 9,298.40 and 2,304.25

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Solution

The fourth proportional to 6,202.58, 9,298.40 and 2,304.25 is: 3,454.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.58 : 9,298.40 = 2,304.25 : x
  2. Step 2: Convert to fraction form
    6,202.58/9,298.40 = 2,304.25/x
  3. Step 3: Cross multiply
    6,202.58x = 9,298.40 × 2,304.25
  4. Step 4: Simplify right side
    6,202.58x = 21,425,832.44
  5. Step 5: Solve for x
    x = 21,425,832.44/6,202.58
  6. Step 6: Final answer
    x = 3,454.34

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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.