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Finding the Fourth Proportional to 4,357.14, 6,012.83 and 2,494.50

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Solution

The fourth proportional to 4,357.14, 6,012.83 and 2,494.50 is: 3,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.14 : 6,012.83 = 2,494.50 : x
  2. Step 2: Convert to fraction form
    4,357.14/6,012.83 = 2,494.50/x
  3. Step 3: Cross multiply
    4,357.14x = 6,012.83 × 2,494.50
  4. Step 4: Simplify right side
    4,357.14x = 14,998,991.96
  5. Step 5: Solve for x
    x = 14,998,991.96/4,357.14
  6. Step 6: Final answer
    x = 3,442.39

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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.