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Finding the Fourth Proportional to 4,286.96, 6,431.25 and 2,903.48

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Solution

The fourth proportional to 4,286.96, 6,431.25 and 2,903.48 is: 4,355.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.96 : 6,431.25 = 2,903.48 : x
  2. Step 2: Convert to fraction form
    4,286.96/6,431.25 = 2,903.48/x
  3. Step 3: Cross multiply
    4,286.96x = 6,431.25 × 2,903.48
  4. Step 4: Simplify right side
    4,286.96x = 18,672,973.59
  5. Step 5: Solve for x
    x = 18,672,973.59/4,286.96
  6. Step 6: Final answer
    x = 4,355.77

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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.