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Finding the Fourth Proportional to 4,475.67, 6,712.97 and 2,285.97

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Solution

The fourth proportional to 4,475.67, 6,712.97 and 2,285.97 is: 3,428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475.67 : 6,712.97 = 2,285.97 : x
  2. Step 2: Convert to fraction form
    4,475.67/6,712.97 = 2,285.97/x
  3. Step 3: Cross multiply
    4,475.67x = 6,712.97 × 2,285.97
  4. Step 4: Simplify right side
    4,475.67x = 15,345,636.60
  5. Step 5: Solve for x
    x = 15,345,636.60/4,475.67
  6. Step 6: Final answer
    x = 3,428.68

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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.