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Finding the Fourth Proportional to 4,297.69, 6,435.58 and 2,832.40

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Solution

The fourth proportional to 4,297.69, 6,435.58 and 2,832.40 is: 4,241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.69 : 6,435.58 = 2,832.40 : x
  2. Step 2: Convert to fraction form
    4,297.69/6,435.58 = 2,832.40/x
  3. Step 3: Cross multiply
    4,297.69x = 6,435.58 × 2,832.40
  4. Step 4: Simplify right side
    4,297.69x = 18,228,104.61
  5. Step 5: Solve for x
    x = 18,228,104.61/4,297.69
  6. Step 6: Final answer
    x = 4,241.38

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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.