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Finding the Fourth Proportional to 4,399.38, 6,071.22 and 2,409.95

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Solution

The fourth proportional to 4,399.38, 6,071.22 and 2,409.95 is: 3,325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,399.38 : 6,071.22 = 2,409.95 : x
  2. Step 2: Convert to fraction form
    4,399.38/6,071.22 = 2,409.95/x
  3. Step 3: Cross multiply
    4,399.38x = 6,071.22 × 2,409.95
  4. Step 4: Simplify right side
    4,399.38x = 14,631,351.82
  5. Step 5: Solve for x
    x = 14,631,351.82/4,399.38
  6. Step 6: Final answer
    x = 3,325.78

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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.