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Finding the Fourth Proportional to 5,930.28, 8,184.03 and 3,412.39

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Solution

The fourth proportional to 5,930.28, 8,184.03 and 3,412.39 is: 4,709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.28 : 8,184.03 = 3,412.39 : x
  2. Step 2: Convert to fraction form
    5,930.28/8,184.03 = 3,412.39/x
  3. Step 3: Cross multiply
    5,930.28x = 8,184.03 × 3,412.39
  4. Step 4: Simplify right side
    5,930.28x = 27,927,085.07
  5. Step 5: Solve for x
    x = 27,927,085.07/5,930.28
  6. Step 6: Final answer
    x = 4,709.24

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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.