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Finding the Fourth Proportional to 4,661.10, 6,981.66 and 2,906.64

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Solution

The fourth proportional to 4,661.10, 6,981.66 and 2,906.64 is: 4,353.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.10 : 6,981.66 = 2,906.64 : x
  2. Step 2: Convert to fraction form
    4,661.10/6,981.66 = 2,906.64/x
  3. Step 3: Cross multiply
    4,661.10x = 6,981.66 × 2,906.64
  4. Step 4: Simplify right side
    4,661.10x = 20,293,172.22
  5. Step 5: Solve for x
    x = 20,293,172.22/4,661.10
  6. Step 6: Final answer
    x = 4,353.73

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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.