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Finding the Fourth Proportional to 5,949.65, 8,209.22 and 3,591.74

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Solution

The fourth proportional to 5,949.65, 8,209.22 and 3,591.74 is: 4,955.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.65 : 8,209.22 = 3,591.74 : x
  2. Step 2: Convert to fraction form
    5,949.65/8,209.22 = 3,591.74/x
  3. Step 3: Cross multiply
    5,949.65x = 8,209.22 × 3,591.74
  4. Step 4: Simplify right side
    5,949.65x = 29,485,386.41
  5. Step 5: Solve for x
    x = 29,485,386.41/5,949.65
  6. Step 6: Final answer
    x = 4,955.82

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1.5x scale

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.