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Finding the Fourth Proportional to 5,949.96, 8,210.64 and 3,297.34

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Solution

The fourth proportional to 5,949.96, 8,210.64 and 3,297.34 is: 4,550.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.96 : 8,210.64 = 3,297.34 : x
  2. Step 2: Convert to fraction form
    5,949.96/8,210.64 = 3,297.34/x
  3. Step 3: Cross multiply
    5,949.96x = 8,210.64 × 3,297.34
  4. Step 4: Simplify right side
    5,949.96x = 27,073,271.70
  5. Step 5: Solve for x
    x = 27,073,271.70/5,949.96
  6. Step 6: Final answer
    x = 4,550.16

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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.