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Finding the Fourth Proportional to 4,664.32, 6,991.20 and 2,196.80

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Solution

The fourth proportional to 4,664.32, 6,991.20 and 2,196.80 is: 3,292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.32 : 6,991.20 = 2,196.80 : x
  2. Step 2: Convert to fraction form
    4,664.32/6,991.20 = 2,196.80/x
  3. Step 3: Cross multiply
    4,664.32x = 6,991.20 × 2,196.80
  4. Step 4: Simplify right side
    4,664.32x = 15,358,268.16
  5. Step 5: Solve for x
    x = 15,358,268.16/4,664.32
  6. Step 6: Final answer
    x = 3,292.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.