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Finding the Fourth Proportional to 3,071.64, 4,204.95 and 3,049.68

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Solution

The fourth proportional to 3,071.64, 4,204.95 and 3,049.68 is: 4,174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.64 : 4,204.95 = 3,049.68 : x
  2. Step 2: Convert to fraction form
    3,071.64/4,204.95 = 3,049.68/x
  3. Step 3: Cross multiply
    3,071.64x = 4,204.95 × 3,049.68
  4. Step 4: Simplify right side
    3,071.64x = 12,823,751.92
  5. Step 5: Solve for x
    x = 12,823,751.92/3,071.64
  6. Step 6: Final answer
    x = 4,174.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.