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Finding the Fourth Proportional to 4,297.56, 5,930.42 and 2,409.14

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Solution

The fourth proportional to 4,297.56, 5,930.42 and 2,409.14 is: 3,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.56 : 5,930.42 = 2,409.14 : x
  2. Step 2: Convert to fraction form
    4,297.56/5,930.42 = 2,409.14/x
  3. Step 3: Cross multiply
    4,297.56x = 5,930.42 × 2,409.14
  4. Step 4: Simplify right side
    4,297.56x = 14,287,214.82
  5. Step 5: Solve for x
    x = 14,287,214.82/4,297.56
  6. Step 6: Final answer
    x = 3,324.50

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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.