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Finding the Fourth Proportional to 4,629.74, 6,912.65 and 3,970.56

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Solution

The fourth proportional to 4,629.74, 6,912.65 and 3,970.56 is: 5,928.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,629.74 : 6,912.65 = 3,970.56 : x
  2. Step 2: Convert to fraction form
    4,629.74/6,912.65 = 3,970.56/x
  3. Step 3: Cross multiply
    4,629.74x = 6,912.65 × 3,970.56
  4. Step 4: Simplify right side
    4,629.74x = 27,447,071.73
  5. Step 5: Solve for x
    x = 27,447,071.73/4,629.74
  6. Step 6: Final answer
    x = 5,928.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.