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Finding the Fourth Proportional to 4,823.64, 6,662.08 and 3,249

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Solution

The fourth proportional to 4,823.64, 6,662.08 and 3,249 is: 4,487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.64 : 6,662.08 = 3,249 : x
  2. Step 2: Convert to fraction form
    4,823.64/6,662.08 = 3,249/x
  3. Step 3: Cross multiply
    4,823.64x = 6,662.08 × 3,249
  4. Step 4: Simplify right side
    4,823.64x = 21,645,097.92
  5. Step 5: Solve for x
    x = 21,645,097.92/4,823.64
  6. Step 6: Final answer
    x = 4,487.30

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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.