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Finding the Fourth Proportional to 6,034.05, 9,045.50 and 2,745

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Solution

The fourth proportional to 6,034.05, 9,045.50 and 2,745 is: 4,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.05 : 9,045.50 = 2,745 : x
  2. Step 2: Convert to fraction form
    6,034.05/9,045.50 = 2,745/x
  3. Step 3: Cross multiply
    6,034.05x = 9,045.50 × 2,745
  4. Step 4: Simplify right side
    6,034.05x = 24,829,883.78
  5. Step 5: Solve for x
    x = 24,829,883.78/6,034.05
  6. Step 6: Final answer
    x = 4,114.96

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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.