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Finding the Fourth Proportional to 3,898.42, 5,845.56 and 1,704.58

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Solution

The fourth proportional to 3,898.42, 5,845.56 and 1,704.58 is: 2,555.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.42 : 5,845.56 = 1,704.58 : x
  2. Step 2: Convert to fraction form
    3,898.42/5,845.56 = 1,704.58/x
  3. Step 3: Cross multiply
    3,898.42x = 5,845.56 × 1,704.58
  4. Step 4: Simplify right side
    3,898.42x = 9,964,224.66
  5. Step 5: Solve for x
    x = 9,964,224.66/3,898.42
  6. Step 6: Final answer
    x = 2,555.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.