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Finding the Fourth Proportional to 3,189.40, 4,760.86 and 3,047.38

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Solution

The fourth proportional to 3,189.40, 4,760.86 and 3,047.38 is: 4,548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.40 : 4,760.86 = 3,047.38 : x
  2. Step 2: Convert to fraction form
    3,189.40/4,760.86 = 3,047.38/x
  3. Step 3: Cross multiply
    3,189.40x = 4,760.86 × 3,047.38
  4. Step 4: Simplify right side
    3,189.40x = 14,508,149.55
  5. Step 5: Solve for x
    x = 14,508,149.55/3,189.40
  6. Step 6: Final answer
    x = 4,548.86

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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.