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Finding the Fourth Proportional to 3,189.47, 4,760.79 and 2,954.63

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Solution

The fourth proportional to 3,189.47, 4,760.79 and 2,954.63 is: 4,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.47 : 4,760.79 = 2,954.63 : x
  2. Step 2: Convert to fraction form
    3,189.47/4,760.79 = 2,954.63/x
  3. Step 3: Cross multiply
    3,189.47x = 4,760.79 × 2,954.63
  4. Step 4: Simplify right side
    3,189.47x = 14,066,367.01
  5. Step 5: Solve for x
    x = 14,066,367.01/3,189.47
  6. Step 6: Final answer
    x = 4,410.25

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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.