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Finding the Fourth Proportional to 4,800.97, 7,213.62 and 4,606.57

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Solution

The fourth proportional to 4,800.97, 7,213.62 and 4,606.57 is: 6,921.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.97 : 7,213.62 = 4,606.57 : x
  2. Step 2: Convert to fraction form
    4,800.97/7,213.62 = 4,606.57/x
  3. Step 3: Cross multiply
    4,800.97x = 7,213.62 × 4,606.57
  4. Step 4: Simplify right side
    4,800.97x = 33,230,045.48
  5. Step 5: Solve for x
    x = 33,230,045.48/4,800.97
  6. Step 6: Final answer
    x = 6,921.53

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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.