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Finding the Fourth Proportional to 6,104, 8,424.32 and 3,620.16

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Solution

The fourth proportional to 6,104, 8,424.32 and 3,620.16 is: 4,996.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104 : 8,424.32 = 3,620.16 : x
  2. Step 2: Convert to fraction form
    6,104/8,424.32 = 3,620.16/x
  3. Step 3: Cross multiply
    6,104x = 8,424.32 × 3,620.16
  4. Step 4: Simplify right side
    6,104x = 30,497,386.29
  5. Step 5: Solve for x
    x = 30,497,386.29/6,104
  6. Step 6: Final answer
    x = 4,996.30

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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.