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Finding the Fourth Proportional to 4,636.67, 6,959.56 and 3,400.56

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Solution

The fourth proportional to 4,636.67, 6,959.56 and 3,400.56 is: 5,104.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.67 : 6,959.56 = 3,400.56 : x
  2. Step 2: Convert to fraction form
    4,636.67/6,959.56 = 3,400.56/x
  3. Step 3: Cross multiply
    4,636.67x = 6,959.56 × 3,400.56
  4. Step 4: Simplify right side
    4,636.67x = 23,666,362.50
  5. Step 5: Solve for x
    x = 23,666,362.50/4,636.67
  6. Step 6: Final answer
    x = 5,104.18

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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.