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Finding the Fourth Proportional to 4,085, 6,108.81 and 3,045.71

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Solution

The fourth proportional to 4,085, 6,108.81 and 3,045.71 is: 4,554.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,085 : 6,108.81 = 3,045.71 : x
  2. Step 2: Convert to fraction form
    4,085/6,108.81 = 3,045.71/x
  3. Step 3: Cross multiply
    4,085x = 6,108.81 × 3,045.71
  4. Step 4: Simplify right side
    4,085x = 18,605,663.71
  5. Step 5: Solve for x
    x = 18,605,663.71/4,085
  6. Step 6: Final answer
    x = 4,554.63

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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.