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Finding the Fourth Proportional to 5,949.62, 8,210.41 and 3,260.86

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Solution

The fourth proportional to 5,949.62, 8,210.41 and 3,260.86 is: 4,499.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.62 : 8,210.41 = 3,260.86 : x
  2. Step 2: Convert to fraction form
    5,949.62/8,210.41 = 3,260.86/x
  3. Step 3: Cross multiply
    5,949.62x = 8,210.41 × 3,260.86
  4. Step 4: Simplify right side
    5,949.62x = 26,772,987.22
  5. Step 5: Solve for x
    x = 26,772,987.22/5,949.62
  6. Step 6: Final answer
    x = 4,499.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.