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Finding the Fourth Proportional to 4,286.96, 5,915.96 and 2,398.58

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Solution

The fourth proportional to 4,286.96, 5,915.96 and 2,398.58 is: 3,310.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.96 : 5,915.96 = 2,398.58 : x
  2. Step 2: Convert to fraction form
    4,286.96/5,915.96 = 2,398.58/x
  3. Step 3: Cross multiply
    4,286.96x = 5,915.96 × 2,398.58
  4. Step 4: Simplify right side
    4,286.96x = 14,189,903.34
  5. Step 5: Solve for x
    x = 14,189,903.34/4,286.96
  6. Step 6: Final answer
    x = 3,310.02

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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.