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Finding the Fourth Proportional to 5,012.73, 7,532.46 and 4,697.46

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Solution

The fourth proportional to 5,012.73, 7,532.46 and 4,697.46 is: 7,058.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,012.73 : 7,532.46 = 4,697.46 : x
  2. Step 2: Convert to fraction form
    5,012.73/7,532.46 = 4,697.46/x
  3. Step 3: Cross multiply
    5,012.73x = 7,532.46 × 4,697.46
  4. Step 4: Simplify right side
    5,012.73x = 35,383,429.55
  5. Step 5: Solve for x
    x = 35,383,429.55/5,012.73
  6. Step 6: Final answer
    x = 7,058.71

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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.