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Finding the Fourth Proportional to 5,604.14, 8,406 and 2,314.78

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Solution

The fourth proportional to 5,604.14, 8,406 and 2,314.78 is: 3,472.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.14 : 8,406 = 2,314.78 : x
  2. Step 2: Convert to fraction form
    5,604.14/8,406 = 2,314.78/x
  3. Step 3: Cross multiply
    5,604.14x = 8,406 × 2,314.78
  4. Step 4: Simplify right side
    5,604.14x = 19,458,040.68
  5. Step 5: Solve for x
    x = 19,458,040.68/5,604.14
  6. Step 6: Final answer
    x = 3,472.08

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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.