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Finding the Fourth Proportional to 4,297.90, 6,447.66 and 3,062.25

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Solution

The fourth proportional to 4,297.90, 6,447.66 and 3,062.25 is: 4,593.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.90 : 6,447.66 = 3,062.25 : x
  2. Step 2: Convert to fraction form
    4,297.90/6,447.66 = 3,062.25/x
  3. Step 3: Cross multiply
    4,297.90x = 6,447.66 × 3,062.25
  4. Step 4: Simplify right side
    4,297.90x = 19,744,334.14
  5. Step 5: Solve for x
    x = 19,744,334.14/4,297.90
  6. Step 6: Final answer
    x = 4,593.95

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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.