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Finding the Fourth Proportional to 4,285.89, 5,914.44 and 2,397.42

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Solution

The fourth proportional to 4,285.89, 5,914.44 and 2,397.42 is: 3,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285.89 : 5,914.44 = 2,397.42 : x
  2. Step 2: Convert to fraction form
    4,285.89/5,914.44 = 2,397.42/x
  3. Step 3: Cross multiply
    4,285.89x = 5,914.44 × 2,397.42
  4. Step 4: Simplify right side
    4,285.89x = 14,179,396.74
  5. Step 5: Solve for x
    x = 14,179,396.74/4,285.89
  6. Step 6: Final answer
    x = 3,308.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.