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Finding the Fourth Proportional to 4,286.34, 5,913.90 and 2,714.04

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Solution

The fourth proportional to 4,286.34, 5,913.90 and 2,714.04 is: 3,744.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.34 : 5,913.90 = 2,714.04 : x
  2. Step 2: Convert to fraction form
    4,286.34/5,913.90 = 2,714.04/x
  3. Step 3: Cross multiply
    4,286.34x = 5,913.90 × 2,714.04
  4. Step 4: Simplify right side
    4,286.34x = 16,050,561.16
  5. Step 5: Solve for x
    x = 16,050,561.16/4,286.34
  6. Step 6: Final answer
    x = 3,744.58

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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.