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Finding the Fourth Proportional to 4,636.68, 6,949.20 and 3,313.56

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Solution

The fourth proportional to 4,636.68, 6,949.20 and 3,313.56 is: 4,966.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.68 : 6,949.20 = 3,313.56 : x
  2. Step 2: Convert to fraction form
    4,636.68/6,949.20 = 3,313.56/x
  3. Step 3: Cross multiply
    4,636.68x = 6,949.20 × 3,313.56
  4. Step 4: Simplify right side
    4,636.68x = 23,026,591.15
  5. Step 5: Solve for x
    x = 23,026,591.15/4,636.68
  6. Step 6: Final answer
    x = 4,966.18

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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.